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Finding the Third Proportional to 37,753 and 55,535

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Solution

The third proportional to 37,753 and 55,535 is: 81,692.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,753 : 55,535 = 55,535 : x
  2. Step 2: Convert to fraction form
    37,753/55,535 = 55,535/x
  3. Step 3: Cross multiply
    37,753x = 55,535 × 55,535
  4. Step 4: Simplify right side
    37,753x = 3,084,136,225
  5. Step 5: Solve for x
    x = 3,084,136,225/37,753
  6. Step 6: Final answer
    x = 81,692.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.