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Finding the Third Proportional to 37,677.66 and 81,270.56

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Solution

The third proportional to 37,677.66 and 81,270.56 is: 175,300.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,677.66 : 81,270.56 = 81,270.56 : x
  2. Step 2: Convert to fraction form
    37,677.66/81,270.56 = 81,270.56/x
  3. Step 3: Cross multiply
    37,677.66x = 81,270.56 × 81,270.56
  4. Step 4: Simplify right side
    37,677.66x = 6,604,904,329.07
  5. Step 5: Solve for x
    x = 6,604,904,329.07/37,677.66
  6. Step 6: Final answer
    x = 175,300.30

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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.