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Finding the Third Proportional to 26,862 and 62,440.50

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Solution

The third proportional to 26,862 and 62,440.50 is: 145,142.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,862 : 62,440.50 = 62,440.50 : x
  2. Step 2: Convert to fraction form
    26,862/62,440.50 = 62,440.50/x
  3. Step 3: Cross multiply
    26,862x = 62,440.50 × 62,440.50
  4. Step 4: Simplify right side
    26,862x = 3,898,816,040.25
  5. Step 5: Solve for x
    x = 3,898,816,040.25/26,862
  6. Step 6: Final answer
    x = 145,142.43

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.