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Finding the Third Proportional to 9,694 and 14,921

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Solution

The third proportional to 9,694 and 14,921 is: 22,966.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694 : 14,921 = 14,921 : x
  2. Step 2: Convert to fraction form
    9,694/14,921 = 14,921/x
  3. Step 3: Cross multiply
    9,694x = 14,921 × 14,921
  4. Step 4: Simplify right side
    9,694x = 222,636,241
  5. Step 5: Solve for x
    x = 222,636,241/9,694
  6. Step 6: Final answer
    x = 22,966.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.