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Finding the Third Proportional to 22,972 and 49,448

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Solution

The third proportional to 22,972 and 49,448 is: 106,438.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,972 : 49,448 = 49,448 : x
  2. Step 2: Convert to fraction form
    22,972/49,448 = 49,448/x
  3. Step 3: Cross multiply
    22,972x = 49,448 × 49,448
  4. Step 4: Simplify right side
    22,972x = 2,445,104,704
  5. Step 5: Solve for x
    x = 2,445,104,704/22,972
  6. Step 6: Final answer
    x = 106,438.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.