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Finding the Third Proportional to 27,484 and 58,859

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Solution

The third proportional to 27,484 and 58,859 is: 126,050.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,484 : 58,859 = 58,859 : x
  2. Step 2: Convert to fraction form
    27,484/58,859 = 58,859/x
  3. Step 3: Cross multiply
    27,484x = 58,859 × 58,859
  4. Step 4: Simplify right side
    27,484x = 3,464,381,881
  5. Step 5: Solve for x
    x = 3,464,381,881/27,484
  6. Step 6: Final answer
    x = 126,050.86

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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.