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Finding the Third Proportional to 13,939 and 29,767

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Solution

The third proportional to 13,939 and 29,767 is: 63,568.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,939 : 29,767 = 29,767 : x
  2. Step 2: Convert to fraction form
    13,939/29,767 = 29,767/x
  3. Step 3: Cross multiply
    13,939x = 29,767 × 29,767
  4. Step 4: Simplify right side
    13,939x = 886,074,289
  5. Step 5: Solve for x
    x = 886,074,289/13,939
  6. Step 6: Final answer
    x = 63,568.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.