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Finding the Third Proportional to 37,270 and 55,398

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Solution

The third proportional to 37,270 and 55,398 is: 82,343.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,270 : 55,398 = 55,398 : x
  2. Step 2: Convert to fraction form
    37,270/55,398 = 55,398/x
  3. Step 3: Cross multiply
    37,270x = 55,398 × 55,398
  4. Step 4: Simplify right side
    37,270x = 3,068,938,404
  5. Step 5: Solve for x
    x = 3,068,938,404/37,270
  6. Step 6: Final answer
    x = 82,343.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.