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Finding the Third Proportional to 18,823.50 and 24,480

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Solution

The third proportional to 18,823.50 and 24,480 is: 31,836.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,823.50 : 24,480 = 24,480 : x
  2. Step 2: Convert to fraction form
    18,823.50/24,480 = 24,480/x
  3. Step 3: Cross multiply
    18,823.50x = 24,480 × 24,480
  4. Step 4: Simplify right side
    18,823.50x = 599,270,400
  5. Step 5: Solve for x
    x = 599,270,400/18,823.50
  6. Step 6: Final answer
    x = 31,836.29

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.