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Finding the Third Proportional to 22,484 and 49,251

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Solution

The third proportional to 22,484 and 49,251 is: 107,883.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,484 : 49,251 = 49,251 : x
  2. Step 2: Convert to fraction form
    22,484/49,251 = 49,251/x
  3. Step 3: Cross multiply
    22,484x = 49,251 × 49,251
  4. Step 4: Simplify right side
    22,484x = 2,425,661,001
  5. Step 5: Solve for x
    x = 2,425,661,001/22,484
  6. Step 6: Final answer
    x = 107,883.87

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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.