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Finding the Third Proportional to 9,493 and 15,251

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Solution

The third proportional to 9,493 and 15,251 is: 24,501.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493 : 15,251 = 15,251 : x
  2. Step 2: Convert to fraction form
    9,493/15,251 = 15,251/x
  3. Step 3: Cross multiply
    9,493x = 15,251 × 15,251
  4. Step 4: Simplify right side
    9,493x = 232,593,001
  5. Step 5: Solve for x
    x = 232,593,001/9,493
  6. Step 6: Final answer
    x = 24,501.53

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.