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Finding the Third Proportional to 23,817.50 and 50,915

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Solution

The third proportional to 23,817.50 and 50,915 is: 108,841.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,817.50 : 50,915 = 50,915 : x
  2. Step 2: Convert to fraction form
    23,817.50/50,915 = 50,915/x
  3. Step 3: Cross multiply
    23,817.50x = 50,915 × 50,915
  4. Step 4: Simplify right side
    23,817.50x = 2,592,337,225
  5. Step 5: Solve for x
    x = 2,592,337,225/23,817.50
  6. Step 6: Final answer
    x = 108,841.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.