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Finding the Third Proportional to 29,769 and 39,711

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Solution

The third proportional to 29,769 and 39,711 is: 52,973.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,769 : 39,711 = 39,711 : x
  2. Step 2: Convert to fraction form
    29,769/39,711 = 39,711/x
  3. Step 3: Cross multiply
    29,769x = 39,711 × 39,711
  4. Step 4: Simplify right side
    29,769x = 1,576,963,521
  5. Step 5: Solve for x
    x = 1,576,963,521/29,769
  6. Step 6: Final answer
    x = 52,973.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.