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Finding the Third Proportional to 18,124 and 24,388

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Solution

The third proportional to 18,124 and 24,388 is: 32,816.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,124 : 24,388 = 24,388 : x
  2. Step 2: Convert to fraction form
    18,124/24,388 = 24,388/x
  3. Step 3: Cross multiply
    18,124x = 24,388 × 24,388
  4. Step 4: Simplify right side
    18,124x = 594,774,544
  5. Step 5: Solve for x
    x = 594,774,544/18,124
  6. Step 6: Final answer
    x = 32,816.96

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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.