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Finding the Third Proportional to 19,782 and 29,610

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Solution

The third proportional to 19,782 and 29,610 is: 44,320.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782 : 29,610 = 29,610 : x
  2. Step 2: Convert to fraction form
    19,782/29,610 = 29,610/x
  3. Step 3: Cross multiply
    19,782x = 29,610 × 29,610
  4. Step 4: Simplify right side
    19,782x = 876,752,100
  5. Step 5: Solve for x
    x = 876,752,100/19,782
  6. Step 6: Final answer
    x = 44,320.70

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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.