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Finding the Third Proportional to 1,434.75 and 2,286.38

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Solution

The third proportional to 1,434.75 and 2,286.38 is: 3,643.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.75 : 2,286.38 = 2,286.38 : x
  2. Step 2: Convert to fraction form
    1,434.75/2,286.38 = 2,286.38/x
  3. Step 3: Cross multiply
    1,434.75x = 2,286.38 × 2,286.38
  4. Step 4: Simplify right side
    1,434.75x = 5,227,510.64
  5. Step 5: Solve for x
    x = 5,227,510.64/1,434.75
  6. Step 6: Final answer
    x = 3,643.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.