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Finding the Third Proportional to 7,441 and 10,578

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Solution

The third proportional to 7,441 and 10,578 is: 15,037.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441 : 10,578 = 10,578 : x
  2. Step 2: Convert to fraction form
    7,441/10,578 = 10,578/x
  3. Step 3: Cross multiply
    7,441x = 10,578 × 10,578
  4. Step 4: Simplify right side
    7,441x = 111,894,084
  5. Step 5: Solve for x
    x = 111,894,084/7,441
  6. Step 6: Final answer
    x = 15,037.51

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.