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Finding the Third Proportional to 2,683.13 and 4,753.69

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Solution

The third proportional to 2,683.13 and 4,753.69 is: 8,422.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.13 : 4,753.69 = 4,753.69 : x
  2. Step 2: Convert to fraction form
    2,683.13/4,753.69 = 4,753.69/x
  3. Step 3: Cross multiply
    2,683.13x = 4,753.69 × 4,753.69
  4. Step 4: Simplify right side
    2,683.13x = 22,597,544.85
  5. Step 5: Solve for x
    x = 22,597,544.85/2,683.13
  6. Step 6: Final answer
    x = 8,422.10

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.