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Finding the Third Proportional to 22,687 and 49,423

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Solution

The third proportional to 22,687 and 49,423 is: 107,666.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,687 : 49,423 = 49,423 : x
  2. Step 2: Convert to fraction form
    22,687/49,423 = 49,423/x
  3. Step 3: Cross multiply
    22,687x = 49,423 × 49,423
  4. Step 4: Simplify right side
    22,687x = 2,442,632,929
  5. Step 5: Solve for x
    x = 2,442,632,929/22,687
  6. Step 6: Final answer
    x = 107,666.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.