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Finding the Third Proportional to 9,982 and 15,277

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Solution

The third proportional to 9,982 and 15,277 is: 23,380.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982 : 15,277 = 15,277 : x
  2. Step 2: Convert to fraction form
    9,982/15,277 = 15,277/x
  3. Step 3: Cross multiply
    9,982x = 15,277 × 15,277
  4. Step 4: Simplify right side
    9,982x = 233,386,729
  5. Step 5: Solve for x
    x = 233,386,729/9,982
  6. Step 6: Final answer
    x = 23,380.76

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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.