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Finding the Third Proportional to 22,871 and 49,486

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Solution

The third proportional to 22,871 and 49,486 is: 107,072.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,871 : 49,486 = 49,486 : x
  2. Step 2: Convert to fraction form
    22,871/49,486 = 49,486/x
  3. Step 3: Cross multiply
    22,871x = 49,486 × 49,486
  4. Step 4: Simplify right side
    22,871x = 2,448,864,196
  5. Step 5: Solve for x
    x = 2,448,864,196/22,871
  6. Step 6: Final answer
    x = 107,072.90

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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.