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Finding the Third Proportional to 9,596 and 22,431

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Solution

The third proportional to 9,596 and 22,431 is: 52,433.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596 : 22,431 = 22,431 : x
  2. Step 2: Convert to fraction form
    9,596/22,431 = 22,431/x
  3. Step 3: Cross multiply
    9,596x = 22,431 × 22,431
  4. Step 4: Simplify right side
    9,596x = 503,149,761
  5. Step 5: Solve for x
    x = 503,149,761/9,596
  6. Step 6: Final answer
    x = 52,433.28

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.