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Finding the Third Proportional to 2,872.13 and 4,608.13

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Solution

The third proportional to 2,872.13 and 4,608.13 is: 7,393.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.13 : 4,608.13 = 4,608.13 : x
  2. Step 2: Convert to fraction form
    2,872.13/4,608.13 = 4,608.13/x
  3. Step 3: Cross multiply
    2,872.13x = 4,608.13 × 4,608.13
  4. Step 4: Simplify right side
    2,872.13x = 21,234,816.02
  5. Step 5: Solve for x
    x = 21,234,816.02/2,872.13
  6. Step 6: Final answer
    x = 7,393.42

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.