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Finding the Third Proportional to 7,580.25 and 9,993.38

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Solution

The third proportional to 7,580.25 and 9,993.38 is: 13,174.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.25 : 9,993.38 = 9,993.38 : x
  2. Step 2: Convert to fraction form
    7,580.25/9,993.38 = 9,993.38/x
  3. Step 3: Cross multiply
    7,580.25x = 9,993.38 × 9,993.38
  4. Step 4: Simplify right side
    7,580.25x = 99,867,543.89
  5. Step 5: Solve for x
    x = 99,867,543.89/7,580.25
  6. Step 6: Final answer
    x = 13,174.70

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.