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Finding the Third Proportional to 1,380.75 and 1,529.25

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Solution

The third proportional to 1,380.75 and 1,529.25 is: 1,693.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.75 : 1,529.25 = 1,529.25 : x
  2. Step 2: Convert to fraction form
    1,380.75/1,529.25 = 1,529.25/x
  3. Step 3: Cross multiply
    1,380.75x = 1,529.25 × 1,529.25
  4. Step 4: Simplify right side
    1,380.75x = 2,338,605.56
  5. Step 5: Solve for x
    x = 2,338,605.56/1,380.75
  6. Step 6: Final answer
    x = 1,693.72

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.