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Finding the Third Proportional to 2,332 and 2,950

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Solution

The third proportional to 2,332 and 2,950 is: 3,731.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332 : 2,950 = 2,950 : x
  2. Step 2: Convert to fraction form
    2,332/2,950 = 2,950/x
  3. Step 3: Cross multiply
    2,332x = 2,950 × 2,950
  4. Step 4: Simplify right side
    2,332x = 8,702,500
  5. Step 5: Solve for x
    x = 8,702,500/2,332
  6. Step 6: Final answer
    x = 3,731.78

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.