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Finding the Third Proportional to 5,202.56 and 9,792.56

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Solution

The third proportional to 5,202.56 and 9,792.56 is: 18,432.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.56 : 9,792.56 = 9,792.56 : x
  2. Step 2: Convert to fraction form
    5,202.56/9,792.56 = 9,792.56/x
  3. Step 3: Cross multiply
    5,202.56x = 9,792.56 × 9,792.56
  4. Step 4: Simplify right side
    5,202.56x = 95,894,280.32
  5. Step 5: Solve for x
    x = 95,894,280.32/5,202.56
  6. Step 6: Final answer
    x = 18,432.12

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.