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Finding the Third Proportional to 2,409.12 and 4,472.24

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Solution

The third proportional to 2,409.12 and 4,472.24 is: 8,302.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.12 : 4,472.24 = 4,472.24 : x
  2. Step 2: Convert to fraction form
    2,409.12/4,472.24 = 4,472.24/x
  3. Step 3: Cross multiply
    2,409.12x = 4,472.24 × 4,472.24
  4. Step 4: Simplify right side
    2,409.12x = 20,000,967.65
  5. Step 5: Solve for x
    x = 20,000,967.65/2,409.12
  6. Step 6: Final answer
    x = 8,302.20

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.