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Finding the Third Proportional to 5,299.50 and 6,875.25

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Solution

The third proportional to 5,299.50 and 6,875.25 is: 8,919.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.50 : 6,875.25 = 6,875.25 : x
  2. Step 2: Convert to fraction form
    5,299.50/6,875.25 = 6,875.25/x
  3. Step 3: Cross multiply
    5,299.50x = 6,875.25 × 6,875.25
  4. Step 4: Simplify right side
    5,299.50x = 47,269,062.56
  5. Step 5: Solve for x
    x = 47,269,062.56/5,299.50
  6. Step 6: Final answer
    x = 8,919.53

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.