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Finding the Third Proportional to 24,171 and 34,216.50

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Solution

The third proportional to 24,171 and 34,216.50 is: 48,436.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,171 : 34,216.50 = 34,216.50 : x
  2. Step 2: Convert to fraction form
    24,171/34,216.50 = 34,216.50/x
  3. Step 3: Cross multiply
    24,171x = 34,216.50 × 34,216.50
  4. Step 4: Simplify right side
    24,171x = 1,170,768,872.25
  5. Step 5: Solve for x
    x = 1,170,768,872.25/24,171
  6. Step 6: Final answer
    x = 48,436.92

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.