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Finding the Third Proportional to 9,974 and 15,310

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Solution

The third proportional to 9,974 and 15,310 is: 23,500.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974 : 15,310 = 15,310 : x
  2. Step 2: Convert to fraction form
    9,974/15,310 = 15,310/x
  3. Step 3: Cross multiply
    9,974x = 15,310 × 15,310
  4. Step 4: Simplify right side
    9,974x = 234,396,100
  5. Step 5: Solve for x
    x = 234,396,100/9,974
  6. Step 6: Final answer
    x = 23,500.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.