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Finding the Third Proportional to 10,381.13 and 24,371.06

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Solution

The third proportional to 10,381.13 and 24,371.06 is: 57,214.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.13 : 24,371.06 = 24,371.06 : x
  2. Step 2: Convert to fraction form
    10,381.13/24,371.06 = 24,371.06/x
  3. Step 3: Cross multiply
    10,381.13x = 24,371.06 × 24,371.06
  4. Step 4: Simplify right side
    10,381.13x = 593,948,687.38
  5. Step 5: Solve for x
    x = 593,948,687.38/10,381.13
  6. Step 6: Final answer
    x = 57,214.29

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.