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Finding the Third Proportional to 7,006 and 12,464

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Solution

The third proportional to 7,006 and 12,464 is: 22,174.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006 : 12,464 = 12,464 : x
  2. Step 2: Convert to fraction form
    7,006/12,464 = 12,464/x
  3. Step 3: Cross multiply
    7,006x = 12,464 × 12,464
  4. Step 4: Simplify right side
    7,006x = 155,351,296
  5. Step 5: Solve for x
    x = 155,351,296/7,006
  6. Step 6: Final answer
    x = 22,174.04

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.