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Finding the Third Proportional to 2,359 and 3,138

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Solution

The third proportional to 2,359 and 3,138 is: 4,174.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359 : 3,138 = 3,138 : x
  2. Step 2: Convert to fraction form
    2,359/3,138 = 3,138/x
  3. Step 3: Cross multiply
    2,359x = 3,138 × 3,138
  4. Step 4: Simplify right side
    2,359x = 9,847,044
  5. Step 5: Solve for x
    x = 9,847,044/2,359
  6. Step 6: Final answer
    x = 4,174.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.