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Finding the Third Proportional to 5,767.50 and 7,573

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Solution

The third proportional to 5,767.50 and 7,573 is: 9,943.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.50 : 7,573 = 7,573 : x
  2. Step 2: Convert to fraction form
    5,767.50/7,573 = 7,573/x
  3. Step 3: Cross multiply
    5,767.50x = 7,573 × 7,573
  4. Step 4: Simplify right side
    5,767.50x = 57,350,329
  5. Step 5: Solve for x
    x = 57,350,329/5,767.50
  6. Step 6: Final answer
    x = 9,943.71

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.