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Finding the Third Proportional to 27,128.25 and 58,347

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Solution

The third proportional to 27,128.25 and 58,347 is: 125,491.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,128.25 : 58,347 = 58,347 : x
  2. Step 2: Convert to fraction form
    27,128.25/58,347 = 58,347/x
  3. Step 3: Cross multiply
    27,128.25x = 58,347 × 58,347
  4. Step 4: Simplify right side
    27,128.25x = 3,404,372,409
  5. Step 5: Solve for x
    x = 3,404,372,409/27,128.25
  6. Step 6: Final answer
    x = 125,491.78

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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.