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Finding the Third Proportional to 18,288 and 24,512.63

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Solution

The third proportional to 18,288 and 24,512.63 is: 32,855.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,288 : 24,512.63 = 24,512.63 : x
  2. Step 2: Convert to fraction form
    18,288/24,512.63 = 24,512.63/x
  3. Step 3: Cross multiply
    18,288x = 24,512.63 × 24,512.63
  4. Step 4: Simplify right side
    18,288x = 600,868,784.39
  5. Step 5: Solve for x
    x = 600,868,784.39/18,288
  6. Step 6: Final answer
    x = 32,855.90

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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.