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Finding the Third Proportional to 18,264 and 24,389

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Solution

The third proportional to 18,264 and 24,389 is: 32,568.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,264 : 24,389 = 24,389 : x
  2. Step 2: Convert to fraction form
    18,264/24,389 = 24,389/x
  3. Step 3: Cross multiply
    18,264x = 24,389 × 24,389
  4. Step 4: Simplify right side
    18,264x = 594,823,321
  5. Step 5: Solve for x
    x = 594,823,321/18,264
  6. Step 6: Final answer
    x = 32,568.07

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.