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Finding the Third Proportional to 3,903.19 and 5,717.46

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Solution

The third proportional to 3,903.19 and 5,717.46 is: 8,375.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.19 : 5,717.46 = 5,717.46 : x
  2. Step 2: Convert to fraction form
    3,903.19/5,717.46 = 5,717.46/x
  3. Step 3: Cross multiply
    3,903.19x = 5,717.46 × 5,717.46
  4. Step 4: Simplify right side
    3,903.19x = 32,689,359.57
  5. Step 5: Solve for x
    x = 32,689,359.57/3,903.19
  6. Step 6: Final answer
    x = 8,375.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.