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Finding the Third Proportional to 7,414.03 and 8,203.78

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Solution

The third proportional to 7,414.03 and 8,203.78 is: 9,077.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414.03 : 8,203.78 = 8,203.78 : x
  2. Step 2: Convert to fraction form
    7,414.03/8,203.78 = 8,203.78/x
  3. Step 3: Cross multiply
    7,414.03x = 8,203.78 × 8,203.78
  4. Step 4: Simplify right side
    7,414.03x = 67,302,026.80
  5. Step 5: Solve for x
    x = 67,302,026.80/7,414.03
  6. Step 6: Final answer
    x = 9,077.66

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.