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Finding the Third Proportional to 22,506 and 48,909

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Solution

The third proportional to 22,506 and 48,909 is: 106,286.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,506 : 48,909 = 48,909 : x
  2. Step 2: Convert to fraction form
    22,506/48,909 = 48,909/x
  3. Step 3: Cross multiply
    22,506x = 48,909 × 48,909
  4. Step 4: Simplify right side
    22,506x = 2,392,090,281
  5. Step 5: Solve for x
    x = 2,392,090,281/22,506
  6. Step 6: Final answer
    x = 106,286.78

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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.