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Finding the Third Proportional to 12,397.50 and 24,171.75

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Solution

The third proportional to 12,397.50 and 24,171.75 is: 47,128.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,397.50 : 24,171.75 = 24,171.75 : x
  2. Step 2: Convert to fraction form
    12,397.50/24,171.75 = 24,171.75/x
  3. Step 3: Cross multiply
    12,397.50x = 24,171.75 × 24,171.75
  4. Step 4: Simplify right side
    12,397.50x = 584,273,498.06
  5. Step 5: Solve for x
    x = 584,273,498.06/12,397.50
  6. Step 6: Final answer
    x = 47,128.33

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.