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Finding the Third Proportional to 3,102.75 and 4,116.38

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Solution

The third proportional to 3,102.75 and 4,116.38 is: 5,461.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.75 : 4,116.38 = 4,116.38 : x
  2. Step 2: Convert to fraction form
    3,102.75/4,116.38 = 4,116.38/x
  3. Step 3: Cross multiply
    3,102.75x = 4,116.38 × 4,116.38
  4. Step 4: Simplify right side
    3,102.75x = 16,944,543.14
  5. Step 5: Solve for x
    x = 16,944,543.14/3,102.75
  6. Step 6: Final answer
    x = 5,461.14

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.