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Finding the Third Proportional to 3,414 and 4,987

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Solution

The third proportional to 3,414 and 4,987 is: 7,284.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414 : 4,987 = 4,987 : x
  2. Step 2: Convert to fraction form
    3,414/4,987 = 4,987/x
  3. Step 3: Cross multiply
    3,414x = 4,987 × 4,987
  4. Step 4: Simplify right side
    3,414x = 24,870,169
  5. Step 5: Solve for x
    x = 24,870,169/3,414
  6. Step 6: Final answer
    x = 7,284.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.