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Finding the Third Proportional to 4,340 and 6,716

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Solution

The third proportional to 4,340 and 6,716 is: 10,392.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340 : 6,716 = 6,716 : x
  2. Step 2: Convert to fraction form
    4,340/6,716 = 6,716/x
  3. Step 3: Cross multiply
    4,340x = 6,716 × 6,716
  4. Step 4: Simplify right side
    4,340x = 45,104,656
  5. Step 5: Solve for x
    x = 45,104,656/4,340
  6. Step 6: Final answer
    x = 10,392.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.