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Finding the Third Proportional to 27,340 and 58,081

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Solution

The third proportional to 27,340 and 58,081 is: 123,387.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,340 : 58,081 = 58,081 : x
  2. Step 2: Convert to fraction form
    27,340/58,081 = 58,081/x
  3. Step 3: Cross multiply
    27,340x = 58,081 × 58,081
  4. Step 4: Simplify right side
    27,340x = 3,373,402,561
  5. Step 5: Solve for x
    x = 3,373,402,561/27,340
  6. Step 6: Final answer
    x = 123,387.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.