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Finding the Third Proportional to 37,761.19 and 81,435.38

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Solution

The third proportional to 37,761.19 and 81,435.38 is: 175,622.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,761.19 : 81,435.38 = 81,435.38 : x
  2. Step 2: Convert to fraction form
    37,761.19/81,435.38 = 81,435.38/x
  3. Step 3: Cross multiply
    37,761.19x = 81,435.38 × 81,435.38
  4. Step 4: Simplify right side
    37,761.19x = 6,631,720,301.39
  5. Step 5: Solve for x
    x = 6,631,720,301.39/37,761.19
  6. Step 6: Final answer
    x = 175,622.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.