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Finding the Third Proportional to 9,940 and 15,821

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Solution

The third proportional to 9,940 and 15,821 is: 25,181.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940 : 15,821 = 15,821 : x
  2. Step 2: Convert to fraction form
    9,940/15,821 = 15,821/x
  3. Step 3: Cross multiply
    9,940x = 15,821 × 15,821
  4. Step 4: Simplify right side
    9,940x = 250,304,041
  5. Step 5: Solve for x
    x = 250,304,041/9,940
  6. Step 6: Final answer
    x = 25,181.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.