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Finding the Third Proportional to 26,842 and 58,301

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Solution

The third proportional to 26,842 and 58,301 is: 126,630.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,842 : 58,301 = 58,301 : x
  2. Step 2: Convert to fraction form
    26,842/58,301 = 58,301/x
  3. Step 3: Cross multiply
    26,842x = 58,301 × 58,301
  4. Step 4: Simplify right side
    26,842x = 3,399,006,601
  5. Step 5: Solve for x
    x = 3,399,006,601/26,842
  6. Step 6: Final answer
    x = 126,630.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.