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Finding the Third Proportional to 2,374 and 3,814

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Solution

The third proportional to 2,374 and 3,814 is: 6,127.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374 : 3,814 = 3,814 : x
  2. Step 2: Convert to fraction form
    2,374/3,814 = 3,814/x
  3. Step 3: Cross multiply
    2,374x = 3,814 × 3,814
  4. Step 4: Simplify right side
    2,374x = 14,546,596
  5. Step 5: Solve for x
    x = 14,546,596/2,374
  6. Step 6: Final answer
    x = 6,127.46

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.