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Finding the Third Proportional to 6,792.75 and 10,132.31

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Solution

The third proportional to 6,792.75 and 10,132.31 is: 15,113.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,792.75 : 10,132.31 = 10,132.31 : x
  2. Step 2: Convert to fraction form
    6,792.75/10,132.31 = 10,132.31/x
  3. Step 3: Cross multiply
    6,792.75x = 10,132.31 × 10,132.31
  4. Step 4: Simplify right side
    6,792.75x = 102,663,756.60
  5. Step 5: Solve for x
    x = 102,663,756.60/6,792.75
  6. Step 6: Final answer
    x = 15,113.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.