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Finding the Third Proportional to 5,390.38 and 8,176.75

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Solution

The third proportional to 5,390.38 and 8,176.75 is: 12,403.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,390.38 : 8,176.75 = 8,176.75 : x
  2. Step 2: Convert to fraction form
    5,390.38/8,176.75 = 8,176.75/x
  3. Step 3: Cross multiply
    5,390.38x = 8,176.75 × 8,176.75
  4. Step 4: Simplify right side
    5,390.38x = 66,859,240.56
  5. Step 5: Solve for x
    x = 66,859,240.56/5,390.38
  6. Step 6: Final answer
    x = 12,403.45

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.