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Finding the Third Proportional to 27,140 and 58,672

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Solution

The third proportional to 27,140 and 58,672 is: 126,838.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,140 : 58,672 = 58,672 : x
  2. Step 2: Convert to fraction form
    27,140/58,672 = 58,672/x
  3. Step 3: Cross multiply
    27,140x = 58,672 × 58,672
  4. Step 4: Simplify right side
    27,140x = 3,442,403,584
  5. Step 5: Solve for x
    x = 3,442,403,584/27,140
  6. Step 6: Final answer
    x = 126,838.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.