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Finding the Third Proportional to 29,746 and 61,957

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Solution

The third proportional to 29,746 and 61,957 is: 129,048.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,746 : 61,957 = 61,957 : x
  2. Step 2: Convert to fraction form
    29,746/61,957 = 61,957/x
  3. Step 3: Cross multiply
    29,746x = 61,957 × 61,957
  4. Step 4: Simplify right side
    29,746x = 3,838,669,849
  5. Step 5: Solve for x
    x = 3,838,669,849/29,746
  6. Step 6: Final answer
    x = 129,048.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.