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Finding the Third Proportional to 18,148.50 and 24,630.75

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Solution

The third proportional to 18,148.50 and 24,630.75 is: 33,428.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,148.50 : 24,630.75 = 24,630.75 : x
  2. Step 2: Convert to fraction form
    18,148.50/24,630.75 = 24,630.75/x
  3. Step 3: Cross multiply
    18,148.50x = 24,630.75 × 24,630.75
  4. Step 4: Simplify right side
    18,148.50x = 606,673,845.56
  5. Step 5: Solve for x
    x = 606,673,845.56/18,148.50
  6. Step 6: Final answer
    x = 33,428.32

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.