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Finding the Third Proportional to 5,065.94 and 7,578.66

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Solution

The third proportional to 5,065.94 and 7,578.66 is: 11,337.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065.94 : 7,578.66 = 7,578.66 : x
  2. Step 2: Convert to fraction form
    5,065.94/7,578.66 = 7,578.66/x
  3. Step 3: Cross multiply
    5,065.94x = 7,578.66 × 7,578.66
  4. Step 4: Simplify right side
    5,065.94x = 57,436,030.56
  5. Step 5: Solve for x
    x = 57,436,030.56/5,065.94
  6. Step 6: Final answer
    x = 11,337.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.