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Finding the Third Proportional to 22,506 and 49,249

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Solution

The third proportional to 22,506 and 49,249 is: 107,769.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,506 : 49,249 = 49,249 : x
  2. Step 2: Convert to fraction form
    22,506/49,249 = 49,249/x
  3. Step 3: Cross multiply
    22,506x = 49,249 × 49,249
  4. Step 4: Simplify right side
    22,506x = 2,425,464,001
  5. Step 5: Solve for x
    x = 2,425,464,001/22,506
  6. Step 6: Final answer
    x = 107,769.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.