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Finding the Third Proportional to 37,752.94 and 81,291.56

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Solution

The third proportional to 37,752.94 and 81,291.56 is: 175,041.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,752.94 : 81,291.56 = 81,291.56 : x
  2. Step 2: Convert to fraction form
    37,752.94/81,291.56 = 81,291.56/x
  3. Step 3: Cross multiply
    37,752.94x = 81,291.56 × 81,291.56
  4. Step 4: Simplify right side
    37,752.94x = 6,608,318,133.69
  5. Step 5: Solve for x
    x = 6,608,318,133.69/37,752.94
  6. Step 6: Final answer
    x = 175,041.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.