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Finding the Third Proportional to 12,142.13 and 25,732.13

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Solution

The third proportional to 12,142.13 and 25,732.13 is: 54,532.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142.13 : 25,732.13 = 25,732.13 : x
  2. Step 2: Convert to fraction form
    12,142.13/25,732.13 = 25,732.13/x
  3. Step 3: Cross multiply
    12,142.13x = 25,732.13 × 25,732.13
  4. Step 4: Simplify right side
    12,142.13x = 662,142,257.02
  5. Step 5: Solve for x
    x = 662,142,257.02/12,142.13
  6. Step 6: Final answer
    x = 54,532.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.