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Finding the Third Proportional to 27,484 and 58,862

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Solution

The third proportional to 27,484 and 58,862 is: 126,063.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,484 : 58,862 = 58,862 : x
  2. Step 2: Convert to fraction form
    27,484/58,862 = 58,862/x
  3. Step 3: Cross multiply
    27,484x = 58,862 × 58,862
  4. Step 4: Simplify right side
    27,484x = 3,464,735,044
  5. Step 5: Solve for x
    x = 3,464,735,044/27,484
  6. Step 6: Final answer
    x = 126,063.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.