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Finding the Third Proportional to 14,038 and 21,761

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Solution

The third proportional to 14,038 and 21,761 is: 33,732.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,038 : 21,761 = 21,761 : x
  2. Step 2: Convert to fraction form
    14,038/21,761 = 21,761/x
  3. Step 3: Cross multiply
    14,038x = 21,761 × 21,761
  4. Step 4: Simplify right side
    14,038x = 473,541,121
  5. Step 5: Solve for x
    x = 473,541,121/14,038
  6. Step 6: Final answer
    x = 33,732.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.