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Finding the Third Proportional to 27,125 and 58,340

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Solution

The third proportional to 27,125 and 58,340 is: 125,476.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,125 : 58,340 = 58,340 : x
  2. Step 2: Convert to fraction form
    27,125/58,340 = 58,340/x
  3. Step 3: Cross multiply
    27,125x = 58,340 × 58,340
  4. Step 4: Simplify right side
    27,125x = 3,403,555,600
  5. Step 5: Solve for x
    x = 3,403,555,600/27,125
  6. Step 6: Final answer
    x = 125,476.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.