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Finding the Third Proportional to 23,677.50 and 48,171

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Solution

The third proportional to 23,677.50 and 48,171 is: 98,002.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,677.50 : 48,171 = 48,171 : x
  2. Step 2: Convert to fraction form
    23,677.50/48,171 = 48,171/x
  3. Step 3: Cross multiply
    23,677.50x = 48,171 × 48,171
  4. Step 4: Simplify right side
    23,677.50x = 2,320,445,241
  5. Step 5: Solve for x
    x = 2,320,445,241/23,677.50
  6. Step 6: Final answer
    x = 98,002.12

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.