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Finding the Third Proportional to 10,046.53 and 15,160.92

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Solution

The third proportional to 10,046.53 and 15,160.92 is: 22,878.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.53 : 15,160.92 = 15,160.92 : x
  2. Step 2: Convert to fraction form
    10,046.53/15,160.92 = 15,160.92/x
  3. Step 3: Cross multiply
    10,046.53x = 15,160.92 × 15,160.92
  4. Step 4: Simplify right side
    10,046.53x = 229,853,552.10
  5. Step 5: Solve for x
    x = 229,853,552.10/10,046.53
  6. Step 6: Final answer
    x = 22,878.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.