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Finding the Third Proportional to 26,416 and 58,016

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Solution

The third proportional to 26,416 and 58,016 is: 127,417.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,416 : 58,016 = 58,016 : x
  2. Step 2: Convert to fraction form
    26,416/58,016 = 58,016/x
  3. Step 3: Cross multiply
    26,416x = 58,016 × 58,016
  4. Step 4: Simplify right side
    26,416x = 3,365,856,256
  5. Step 5: Solve for x
    x = 3,365,856,256/26,416
  6. Step 6: Final answer
    x = 127,417.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.