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Finding the Third Proportional to 26,432 and 57,016

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Solution

The third proportional to 26,432 and 57,016 is: 122,988.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,432 : 57,016 = 57,016 : x
  2. Step 2: Convert to fraction form
    26,432/57,016 = 57,016/x
  3. Step 3: Cross multiply
    26,432x = 57,016 × 57,016
  4. Step 4: Simplify right side
    26,432x = 3,250,824,256
  5. Step 5: Solve for x
    x = 3,250,824,256/26,432
  6. Step 6: Final answer
    x = 122,988.21

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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.