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Finding the Third Proportional to 15,865.17 and 34,576.17

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Solution

The third proportional to 15,865.17 and 34,576.17 is: 75,354.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,865.17 : 34,576.17 = 34,576.17 : x
  2. Step 2: Convert to fraction form
    15,865.17/34,576.17 = 34,576.17/x
  3. Step 3: Cross multiply
    15,865.17x = 34,576.17 × 34,576.17
  4. Step 4: Simplify right side
    15,865.17x = 1,195,511,661.53
  5. Step 5: Solve for x
    x = 1,195,511,661.53/15,865.17
  6. Step 6: Final answer
    x = 75,354.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.