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Finding the Third Proportional to 6,854.20 and 15,017.48

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Solution

The third proportional to 6,854.20 and 15,017.48 is: 32,903.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.20 : 15,017.48 = 15,017.48 : x
  2. Step 2: Convert to fraction form
    6,854.20/15,017.48 = 15,017.48/x
  3. Step 3: Cross multiply
    6,854.20x = 15,017.48 × 15,017.48
  4. Step 4: Simplify right side
    6,854.20x = 225,524,836.95
  5. Step 5: Solve for x
    x = 225,524,836.95/6,854.20
  6. Step 6: Final answer
    x = 32,903.14

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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.