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Finding the Third Proportional to 732.75 and 1,508.81

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Solution

The third proportional to 732.75 and 1,508.81 is: 3,106.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.75 : 1,508.81 = 1,508.81 : x
  2. Step 2: Convert to fraction form
    732.75/1,508.81 = 1,508.81/x
  3. Step 3: Cross multiply
    732.75x = 1,508.81 × 1,508.81
  4. Step 4: Simplify right side
    732.75x = 2,276,515.16
  5. Step 5: Solve for x
    x = 2,276,515.16/732.75
  6. Step 6: Final answer
    x = 3,106.81

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.