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Finding the Third Proportional to 19,711 and 29,488

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Solution

The third proportional to 19,711 and 29,488 is: 44,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,711 : 29,488 = 29,488 : x
  2. Step 2: Convert to fraction form
    19,711/29,488 = 29,488/x
  3. Step 3: Cross multiply
    19,711x = 29,488 × 29,488
  4. Step 4: Simplify right side
    19,711x = 869,542,144
  5. Step 5: Solve for x
    x = 869,542,144/19,711
  6. Step 6: Final answer
    x = 44,114.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.