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Finding the Third Proportional to 7,543.13 and 8,226.38

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Solution

The third proportional to 7,543.13 and 8,226.38 is: 8,971.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.13 : 8,226.38 = 8,226.38 : x
  2. Step 2: Convert to fraction form
    7,543.13/8,226.38 = 8,226.38/x
  3. Step 3: Cross multiply
    7,543.13x = 8,226.38 × 8,226.38
  4. Step 4: Simplify right side
    7,543.13x = 67,673,245.64
  5. Step 5: Solve for x
    x = 67,673,245.64/7,543.13
  6. Step 6: Final answer
    x = 8,971.51

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.