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Finding the Third Proportional to 22,704 and 49,282

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Solution

The third proportional to 22,704 and 49,282 is: 106,973.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,704 : 49,282 = 49,282 : x
  2. Step 2: Convert to fraction form
    22,704/49,282 = 49,282/x
  3. Step 3: Cross multiply
    22,704x = 49,282 × 49,282
  4. Step 4: Simplify right side
    22,704x = 2,428,715,524
  5. Step 5: Solve for x
    x = 2,428,715,524/22,704
  6. Step 6: Final answer
    x = 106,973.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.