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Finding the Third Proportional to 9,576 and 15,366

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Solution

The third proportional to 9,576 and 15,366 is: 24,656.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576 : 15,366 = 15,366 : x
  2. Step 2: Convert to fraction form
    9,576/15,366 = 15,366/x
  3. Step 3: Cross multiply
    9,576x = 15,366 × 15,366
  4. Step 4: Simplify right side
    9,576x = 236,113,956
  5. Step 5: Solve for x
    x = 236,113,956/9,576
  6. Step 6: Final answer
    x = 24,656.85

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.