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Finding the Third Proportional to 27,516 and 58,920

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Solution

The third proportional to 27,516 and 58,920 is: 126,165.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,516 : 58,920 = 58,920 : x
  2. Step 2: Convert to fraction form
    27,516/58,920 = 58,920/x
  3. Step 3: Cross multiply
    27,516x = 58,920 × 58,920
  4. Step 4: Simplify right side
    27,516x = 3,471,566,400
  5. Step 5: Solve for x
    x = 3,471,566,400/27,516
  6. Step 6: Final answer
    x = 126,165.37

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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.