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Finding the Third Proportional to 9,694 and 14,621

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Solution

The third proportional to 9,694 and 14,621 is: 22,052.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694 : 14,621 = 14,621 : x
  2. Step 2: Convert to fraction form
    9,694/14,621 = 14,621/x
  3. Step 3: Cross multiply
    9,694x = 14,621 × 14,621
  4. Step 4: Simplify right side
    9,694x = 213,773,641
  5. Step 5: Solve for x
    x = 213,773,641/9,694
  6. Step 6: Final answer
    x = 22,052.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.