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Finding the Third Proportional to 22,486 and 48,680

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Solution

The third proportional to 22,486 and 48,680 is: 105,387.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,486 : 48,680 = 48,680 : x
  2. Step 2: Convert to fraction form
    22,486/48,680 = 48,680/x
  3. Step 3: Cross multiply
    22,486x = 48,680 × 48,680
  4. Step 4: Simplify right side
    22,486x = 2,369,742,400
  5. Step 5: Solve for x
    x = 2,369,742,400/22,486
  6. Step 6: Final answer
    x = 105,387.46

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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.