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Finding the Third Proportional to 26,864 and 58,342

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Solution

The third proportional to 26,864 and 58,342 is: 126,704.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,864 : 58,342 = 58,342 : x
  2. Step 2: Convert to fraction form
    26,864/58,342 = 58,342/x
  3. Step 3: Cross multiply
    26,864x = 58,342 × 58,342
  4. Step 4: Simplify right side
    26,864x = 3,403,788,964
  5. Step 5: Solve for x
    x = 3,403,788,964/26,864
  6. Step 6: Final answer
    x = 126,704.47

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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.