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Finding the Third Proportional to 6,948.28 and 15,103.97

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Solution

The third proportional to 6,948.28 and 15,103.97 is: 32,832.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.28 : 15,103.97 = 15,103.97 : x
  2. Step 2: Convert to fraction form
    6,948.28/15,103.97 = 15,103.97/x
  3. Step 3: Cross multiply
    6,948.28x = 15,103.97 × 15,103.97
  4. Step 4: Simplify right side
    6,948.28x = 228,129,872.00
  5. Step 5: Solve for x
    x = 228,129,872.00/6,948.28
  6. Step 6: Final answer
    x = 32,832.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.