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Finding the Third Proportional to 5,006 and 5,678

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Solution

The third proportional to 5,006 and 5,678 is: 6,440.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006 : 5,678 = 5,678 : x
  2. Step 2: Convert to fraction form
    5,006/5,678 = 5,678/x
  3. Step 3: Cross multiply
    5,006x = 5,678 × 5,678
  4. Step 4: Simplify right side
    5,006x = 32,239,684
  5. Step 5: Solve for x
    x = 32,239,684/5,006
  6. Step 6: Final answer
    x = 6,440.21

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.