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Finding the Third Proportional to 9,576 and 15,291

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Solution

The third proportional to 9,576 and 15,291 is: 24,416.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576 : 15,291 = 15,291 : x
  2. Step 2: Convert to fraction form
    9,576/15,291 = 15,291/x
  3. Step 3: Cross multiply
    9,576x = 15,291 × 15,291
  4. Step 4: Simplify right side
    9,576x = 233,814,681
  5. Step 5: Solve for x
    x = 233,814,681/9,576
  6. Step 6: Final answer
    x = 24,416.74

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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.