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Finding the Third Proportional to 22,864 and 49,352

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Solution

The third proportional to 22,864 and 49,352 is: 106,526.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,864 : 49,352 = 49,352 : x
  2. Step 2: Convert to fraction form
    22,864/49,352 = 49,352/x
  3. Step 3: Cross multiply
    22,864x = 49,352 × 49,352
  4. Step 4: Simplify right side
    22,864x = 2,435,619,904
  5. Step 5: Solve for x
    x = 2,435,619,904/22,864
  6. Step 6: Final answer
    x = 106,526.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.