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Finding the Third Proportional to 37,261 and 56,373

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Solution

The third proportional to 37,261 and 56,373 is: 85,287.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,261 : 56,373 = 56,373 : x
  2. Step 2: Convert to fraction form
    37,261/56,373 = 56,373/x
  3. Step 3: Cross multiply
    37,261x = 56,373 × 56,373
  4. Step 4: Simplify right side
    37,261x = 3,177,915,129
  5. Step 5: Solve for x
    x = 3,177,915,129/37,261
  6. Step 6: Final answer
    x = 85,287.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.