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Finding the Third Proportional to 14,139 and 30,737

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Solution

The third proportional to 14,139 and 30,737 is: 66,819.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,139 : 30,737 = 30,737 : x
  2. Step 2: Convert to fraction form
    14,139/30,737 = 30,737/x
  3. Step 3: Cross multiply
    14,139x = 30,737 × 30,737
  4. Step 4: Simplify right side
    14,139x = 944,763,169
  5. Step 5: Solve for x
    x = 944,763,169/14,139
  6. Step 6: Final answer
    x = 66,819.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.