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Finding the Third Proportional to 27,070 and 58,448

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Solution

The third proportional to 27,070 and 58,448 is: 126,197.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,070 : 58,448 = 58,448 : x
  2. Step 2: Convert to fraction form
    27,070/58,448 = 58,448/x
  3. Step 3: Cross multiply
    27,070x = 58,448 × 58,448
  4. Step 4: Simplify right side
    27,070x = 3,416,168,704
  5. Step 5: Solve for x
    x = 3,416,168,704/27,070
  6. Step 6: Final answer
    x = 126,197.59

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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.