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Finding the Third Proportional to 19,585.50 and 29,422

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Solution

The third proportional to 19,585.50 and 29,422 is: 44,198.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,585.50 : 29,422 = 29,422 : x
  2. Step 2: Convert to fraction form
    19,585.50/29,422 = 29,422/x
  3. Step 3: Cross multiply
    19,585.50x = 29,422 × 29,422
  4. Step 4: Simplify right side
    19,585.50x = 865,654,084
  5. Step 5: Solve for x
    x = 865,654,084/19,585.50
  6. Step 6: Final answer
    x = 44,198.72

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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.