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Finding the Third Proportional to 6,502.50 and 8,799

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Solution

The third proportional to 6,502.50 and 8,799 is: 11,906.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.50 : 8,799 = 8,799 : x
  2. Step 2: Convert to fraction form
    6,502.50/8,799 = 8,799/x
  3. Step 3: Cross multiply
    6,502.50x = 8,799 × 8,799
  4. Step 4: Simplify right side
    6,502.50x = 77,422,401
  5. Step 5: Solve for x
    x = 77,422,401/6,502.50
  6. Step 6: Final answer
    x = 11,906.56

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.