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Finding the Third Proportional to 15,999.75 and 35,023.50

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Solution

The third proportional to 15,999.75 and 35,023.50 is: 76,666.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,999.75 : 35,023.50 = 35,023.50 : x
  2. Step 2: Convert to fraction form
    15,999.75/35,023.50 = 35,023.50/x
  3. Step 3: Cross multiply
    15,999.75x = 35,023.50 × 35,023.50
  4. Step 4: Simplify right side
    15,999.75x = 1,226,645,552.25
  5. Step 5: Solve for x
    x = 1,226,645,552.25/15,999.75
  6. Step 6: Final answer
    x = 76,666.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.