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Finding the Third Proportional to 6,535.69 and 7,224.19

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Solution

The third proportional to 6,535.69 and 7,224.19 is: 7,985.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.69 : 7,224.19 = 7,224.19 : x
  2. Step 2: Convert to fraction form
    6,535.69/7,224.19 = 7,224.19/x
  3. Step 3: Cross multiply
    6,535.69x = 7,224.19 × 7,224.19
  4. Step 4: Simplify right side
    6,535.69x = 52,188,885.04
  5. Step 5: Solve for x
    x = 52,188,885.04/6,535.69
  6. Step 6: Final answer
    x = 7,985.22

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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.