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Finding the Third Proportional to 18,436 and 24,838

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Solution

The third proportional to 18,436 and 24,838 is: 33,463.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,436 : 24,838 = 24,838 : x
  2. Step 2: Convert to fraction form
    18,436/24,838 = 24,838/x
  3. Step 3: Cross multiply
    18,436x = 24,838 × 24,838
  4. Step 4: Simplify right side
    18,436x = 616,926,244
  5. Step 5: Solve for x
    x = 616,926,244/18,436
  6. Step 6: Final answer
    x = 33,463.13

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.