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Finding the Third Proportional to 5,947 and 13,001

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Solution

The third proportional to 5,947 and 13,001 is: 28,422.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947 : 13,001 = 13,001 : x
  2. Step 2: Convert to fraction form
    5,947/13,001 = 13,001/x
  3. Step 3: Cross multiply
    5,947x = 13,001 × 13,001
  4. Step 4: Simplify right side
    5,947x = 169,026,001
  5. Step 5: Solve for x
    x = 169,026,001/5,947
  6. Step 6: Final answer
    x = 28,422.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.