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Finding the Third Proportional to 9,538 and 15,319

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Solution

The third proportional to 9,538 and 15,319 is: 24,603.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538 : 15,319 = 15,319 : x
  2. Step 2: Convert to fraction form
    9,538/15,319 = 15,319/x
  3. Step 3: Cross multiply
    9,538x = 15,319 × 15,319
  4. Step 4: Simplify right side
    9,538x = 234,671,761
  5. Step 5: Solve for x
    x = 234,671,761/9,538
  6. Step 6: Final answer
    x = 24,603.88

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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.