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Finding the Third Proportional to 37,270.13 and 47,278.69

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Solution

The third proportional to 37,270.13 and 47,278.69 is: 59,974.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,270.13 : 47,278.69 = 47,278.69 : x
  2. Step 2: Convert to fraction form
    37,270.13/47,278.69 = 47,278.69/x
  3. Step 3: Cross multiply
    37,270.13x = 47,278.69 × 47,278.69
  4. Step 4: Simplify right side
    37,270.13x = 2,235,274,291.72
  5. Step 5: Solve for x
    x = 2,235,274,291.72/37,270.13
  6. Step 6: Final answer
    x = 59,974.96

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.