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Finding the Third Proportional to 35,999.44 and 78,549.75

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Solution

The third proportional to 35,999.44 and 78,549.75 is: 171,393.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,999.44 : 78,549.75 = 78,549.75 : x
  2. Step 2: Convert to fraction form
    35,999.44/78,549.75 = 78,549.75/x
  3. Step 3: Cross multiply
    35,999.44x = 78,549.75 × 78,549.75
  4. Step 4: Simplify right side
    35,999.44x = 6,170,063,225.06
  5. Step 5: Solve for x
    x = 6,170,063,225.06/35,999.44
  6. Step 6: Final answer
    x = 171,393.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.