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Finding the Third Proportional to 5,113.13 and 6,502.78

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Solution

The third proportional to 5,113.13 and 6,502.78 is: 8,270.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.13 : 6,502.78 = 6,502.78 : x
  2. Step 2: Convert to fraction form
    5,113.13/6,502.78 = 6,502.78/x
  3. Step 3: Cross multiply
    5,113.13x = 6,502.78 × 6,502.78
  4. Step 4: Simplify right side
    5,113.13x = 42,286,163.99
  5. Step 5: Solve for x
    x = 42,286,163.99/5,113.13
  6. Step 6: Final answer
    x = 8,270.12

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.