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Finding the Third Proportional to 3,715.24 and 5,440.92

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Solution

The third proportional to 3,715.24 and 5,440.92 is: 7,968.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.24 : 5,440.92 = 5,440.92 : x
  2. Step 2: Convert to fraction form
    3,715.24/5,440.92 = 5,440.92/x
  3. Step 3: Cross multiply
    3,715.24x = 5,440.92 × 5,440.92
  4. Step 4: Simplify right side
    3,715.24x = 29,603,630.85
  5. Step 5: Solve for x
    x = 29,603,630.85/3,715.24
  6. Step 6: Final answer
    x = 7,968.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.