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Finding the Third Proportional to 26,871.75 and 62,461.13

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Solution

The third proportional to 26,871.75 and 62,461.13 is: 145,185.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,871.75 : 62,461.13 = 62,461.13 : x
  2. Step 2: Convert to fraction form
    26,871.75/62,461.13 = 62,461.13/x
  3. Step 3: Cross multiply
    26,871.75x = 62,461.13 × 62,461.13
  4. Step 4: Simplify right side
    26,871.75x = 3,901,392,136.27
  5. Step 5: Solve for x
    x = 3,901,392,136.27/26,871.75
  6. Step 6: Final answer
    x = 145,185.64

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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.