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Finding the Third Proportional to 36,421.50 and 75,371.25

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Solution

The third proportional to 36,421.50 and 75,371.25 is: 155,974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,421.50 : 75,371.25 = 75,371.25 : x
  2. Step 2: Convert to fraction form
    36,421.50/75,371.25 = 75,371.25/x
  3. Step 3: Cross multiply
    36,421.50x = 75,371.25 × 75,371.25
  4. Step 4: Simplify right side
    36,421.50x = 5,680,825,326.56
  5. Step 5: Solve for x
    x = 5,680,825,326.56/36,421.50
  6. Step 6: Final answer
    x = 155,974.50

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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.