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Finding the Third Proportional to 26,966.25 and 58,515.75

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Solution

The third proportional to 26,966.25 and 58,515.75 is: 126,976.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,966.25 : 58,515.75 = 58,515.75 : x
  2. Step 2: Convert to fraction form
    26,966.25/58,515.75 = 58,515.75/x
  3. Step 3: Cross multiply
    26,966.25x = 58,515.75 × 58,515.75
  4. Step 4: Simplify right side
    26,966.25x = 3,424,092,998.06
  5. Step 5: Solve for x
    x = 3,424,092,998.06/26,966.25
  6. Step 6: Final answer
    x = 126,976.98

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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.