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Finding the Third Proportional to 36,761.34 and 54,995.84

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Solution

The third proportional to 36,761.34 and 54,995.84 is: 82,275.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,761.34 : 54,995.84 = 54,995.84 : x
  2. Step 2: Convert to fraction form
    36,761.34/54,995.84 = 54,995.84/x
  3. Step 3: Cross multiply
    36,761.34x = 54,995.84 × 54,995.84
  4. Step 4: Simplify right side
    36,761.34x = 3,024,541,970.46
  5. Step 5: Solve for x
    x = 3,024,541,970.46/36,761.34
  6. Step 6: Final answer
    x = 82,275.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.