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Finding the Third Proportional to 18,275.25 and 39,972.75

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Solution

The third proportional to 18,275.25 and 39,972.75 is: 87,430.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,275.25 : 39,972.75 = 39,972.75 : x
  2. Step 2: Convert to fraction form
    18,275.25/39,972.75 = 39,972.75/x
  3. Step 3: Cross multiply
    18,275.25x = 39,972.75 × 39,972.75
  4. Step 4: Simplify right side
    18,275.25x = 1,597,820,742.56
  5. Step 5: Solve for x
    x = 1,597,820,742.56/18,275.25
  6. Step 6: Final answer
    x = 87,430.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.