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Finding the Third Proportional to 22,599 and 48,691

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Solution

The third proportional to 22,599 and 48,691 is: 104,907.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,599 : 48,691 = 48,691 : x
  2. Step 2: Convert to fraction form
    22,599/48,691 = 48,691/x
  3. Step 3: Cross multiply
    22,599x = 48,691 × 48,691
  4. Step 4: Simplify right side
    22,599x = 2,370,813,481
  5. Step 5: Solve for x
    x = 2,370,813,481/22,599
  6. Step 6: Final answer
    x = 104,907.89

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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.