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Finding the Third Proportional to 2,937 and 6,414

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Solution

The third proportional to 2,937 and 6,414 is: 14,007.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937 : 6,414 = 6,414 : x
  2. Step 2: Convert to fraction form
    2,937/6,414 = 6,414/x
  3. Step 3: Cross multiply
    2,937x = 6,414 × 6,414
  4. Step 4: Simplify right side
    2,937x = 41,139,396
  5. Step 5: Solve for x
    x = 41,139,396/2,937
  6. Step 6: Final answer
    x = 14,007.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.