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Finding the Third Proportional to 1,512 and 3,654.75

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Solution

The third proportional to 1,512 and 3,654.75 is: 8,834.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512 : 3,654.75 = 3,654.75 : x
  2. Step 2: Convert to fraction form
    1,512/3,654.75 = 3,654.75/x
  3. Step 3: Cross multiply
    1,512x = 3,654.75 × 3,654.75
  4. Step 4: Simplify right side
    1,512x = 13,357,197.56
  5. Step 5: Solve for x
    x = 13,357,197.56/1,512
  6. Step 6: Final answer
    x = 8,834.13

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.