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Finding the Third Proportional to 1,872.28 and 4,452.05

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Solution

The third proportional to 1,872.28 and 4,452.05 is: 10,586.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.28 : 4,452.05 = 4,452.05 : x
  2. Step 2: Convert to fraction form
    1,872.28/4,452.05 = 4,452.05/x
  3. Step 3: Cross multiply
    1,872.28x = 4,452.05 × 4,452.05
  4. Step 4: Simplify right side
    1,872.28x = 19,820,721.38
  5. Step 5: Solve for x
    x = 19,820,721.38/1,872.28
  6. Step 6: Final answer
    x = 10,586.40

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.