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Finding the Third Proportional to 27,599 and 58,873

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Solution

The third proportional to 27,599 and 58,873 is: 125,585.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,599 : 58,873 = 58,873 : x
  2. Step 2: Convert to fraction form
    27,599/58,873 = 58,873/x
  3. Step 3: Cross multiply
    27,599x = 58,873 × 58,873
  4. Step 4: Simplify right side
    27,599x = 3,466,030,129
  5. Step 5: Solve for x
    x = 3,466,030,129/27,599
  6. Step 6: Final answer
    x = 125,585.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.