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Finding the Third Proportional to 23,544 and 54,459

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Solution

The third proportional to 23,544 and 54,459 is: 125,967.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,544 : 54,459 = 54,459 : x
  2. Step 2: Convert to fraction form
    23,544/54,459 = 54,459/x
  3. Step 3: Cross multiply
    23,544x = 54,459 × 54,459
  4. Step 4: Simplify right side
    23,544x = 2,965,782,681
  5. Step 5: Solve for x
    x = 2,965,782,681/23,544
  6. Step 6: Final answer
    x = 125,967.66

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.