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Finding the Third Proportional to 3,412 and 5,005

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Solution

The third proportional to 3,412 and 5,005 is: 7,341.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412 : 5,005 = 5,005 : x
  2. Step 2: Convert to fraction form
    3,412/5,005 = 5,005/x
  3. Step 3: Cross multiply
    3,412x = 5,005 × 5,005
  4. Step 4: Simplify right side
    3,412x = 25,050,025
  5. Step 5: Solve for x
    x = 25,050,025/3,412
  6. Step 6: Final answer
    x = 7,341.74

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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.