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Finding the Third Proportional to 27,599 and 43,720

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Solution

The third proportional to 27,599 and 43,720 is: 69,257.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,599 : 43,720 = 43,720 : x
  2. Step 2: Convert to fraction form
    27,599/43,720 = 43,720/x
  3. Step 3: Cross multiply
    27,599x = 43,720 × 43,720
  4. Step 4: Simplify right side
    27,599x = 1,911,438,400
  5. Step 5: Solve for x
    x = 1,911,438,400/27,599
  6. Step 6: Final answer
    x = 69,257.52

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.