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Finding the Third Proportional to 24,387 and 33,123

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Solution

The third proportional to 24,387 and 33,123 is: 44,988.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,387 : 33,123 = 33,123 : x
  2. Step 2: Convert to fraction form
    24,387/33,123 = 33,123/x
  3. Step 3: Cross multiply
    24,387x = 33,123 × 33,123
  4. Step 4: Simplify right side
    24,387x = 1,097,133,129
  5. Step 5: Solve for x
    x = 1,097,133,129/24,387
  6. Step 6: Final answer
    x = 44,988.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.