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Finding the Third Proportional to 23,217.50 and 34,879

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Solution

The third proportional to 23,217.50 and 34,879 is: 52,397.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,217.50 : 34,879 = 34,879 : x
  2. Step 2: Convert to fraction form
    23,217.50/34,879 = 34,879/x
  3. Step 3: Cross multiply
    23,217.50x = 34,879 × 34,879
  4. Step 4: Simplify right side
    23,217.50x = 1,216,544,641
  5. Step 5: Solve for x
    x = 1,216,544,641/23,217.50
  6. Step 6: Final answer
    x = 52,397.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.