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Finding the Third Proportional to 5,643 and 13,006

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Solution

The third proportional to 5,643 and 13,006 is: 29,976.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643 : 13,006 = 13,006 : x
  2. Step 2: Convert to fraction form
    5,643/13,006 = 13,006/x
  3. Step 3: Cross multiply
    5,643x = 13,006 × 13,006
  4. Step 4: Simplify right side
    5,643x = 169,156,036
  5. Step 5: Solve for x
    x = 169,156,036/5,643
  6. Step 6: Final answer
    x = 29,976.26

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.