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Finding the Third Proportional to 23,720.50 and 51,337

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Solution

The third proportional to 23,720.50 and 51,337 is: 111,105.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,720.50 : 51,337 = 51,337 : x
  2. Step 2: Convert to fraction form
    23,720.50/51,337 = 51,337/x
  3. Step 3: Cross multiply
    23,720.50x = 51,337 × 51,337
  4. Step 4: Simplify right side
    23,720.50x = 2,635,487,569
  5. Step 5: Solve for x
    x = 2,635,487,569/23,720.50
  6. Step 6: Final answer
    x = 111,105.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.