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Finding the Third Proportional to 3,414 and 5,007

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Solution

The third proportional to 3,414 and 5,007 is: 7,343.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414 : 5,007 = 5,007 : x
  2. Step 2: Convert to fraction form
    3,414/5,007 = 5,007/x
  3. Step 3: Cross multiply
    3,414x = 5,007 × 5,007
  4. Step 4: Simplify right side
    3,414x = 25,070,049
  5. Step 5: Solve for x
    x = 25,070,049/3,414
  6. Step 6: Final answer
    x = 7,343.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.