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Finding the Third Proportional to 732.88 and 1,581.38

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Solution

The third proportional to 732.88 and 1,581.38 is: 3,412.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.88 : 1,581.38 = 1,581.38 : x
  2. Step 2: Convert to fraction form
    732.88/1,581.38 = 1,581.38/x
  3. Step 3: Cross multiply
    732.88x = 1,581.38 × 1,581.38
  4. Step 4: Simplify right side
    732.88x = 2,500,746.89
  5. Step 5: Solve for x
    x = 2,500,746.89/732.88
  6. Step 6: Final answer
    x = 3,412.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.