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Finding the Third Proportional to 19,782 and 24,008

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Solution

The third proportional to 19,782 and 24,008 is: 29,136.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782 : 24,008 = 24,008 : x
  2. Step 2: Convert to fraction form
    19,782/24,008 = 24,008/x
  3. Step 3: Cross multiply
    19,782x = 24,008 × 24,008
  4. Step 4: Simplify right side
    19,782x = 576,384,064
  5. Step 5: Solve for x
    x = 576,384,064/19,782
  6. Step 6: Final answer
    x = 29,136.79

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.