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Finding the Third Proportional to 37,087.50 and 76,801.13

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Solution

The third proportional to 37,087.50 and 76,801.13 is: 159,040.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,087.50 : 76,801.13 = 76,801.13 : x
  2. Step 2: Convert to fraction form
    37,087.50/76,801.13 = 76,801.13/x
  3. Step 3: Cross multiply
    37,087.50x = 76,801.13 × 76,801.13
  4. Step 4: Simplify right side
    37,087.50x = 5,898,412,801.27
  5. Step 5: Solve for x
    x = 5,898,412,801.27/37,087.50
  6. Step 6: Final answer
    x = 159,040.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.