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Finding the Third Proportional to 9,618 and 15,249

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Solution

The third proportional to 9,618 and 15,249 is: 24,176.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618 : 15,249 = 15,249 : x
  2. Step 2: Convert to fraction form
    9,618/15,249 = 15,249/x
  3. Step 3: Cross multiply
    9,618x = 15,249 × 15,249
  4. Step 4: Simplify right side
    9,618x = 232,532,001
  5. Step 5: Solve for x
    x = 232,532,001/9,618
  6. Step 6: Final answer
    x = 24,176.75

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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.