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Finding the Third Proportional to 5,999.63 and 9,492.75

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Solution

The third proportional to 5,999.63 and 9,492.75 is: 15,019.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,999.63 : 9,492.75 = 9,492.75 : x
  2. Step 2: Convert to fraction form
    5,999.63/9,492.75 = 9,492.75/x
  3. Step 3: Cross multiply
    5,999.63x = 9,492.75 × 9,492.75
  4. Step 4: Simplify right side
    5,999.63x = 90,112,302.56
  5. Step 5: Solve for x
    x = 90,112,302.56/5,999.63
  6. Step 6: Final answer
    x = 15,019.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.