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Finding the Third Proportional to 21,732.50 and 52,337

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Solution

The third proportional to 21,732.50 and 52,337 is: 126,039.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,732.50 : 52,337 = 52,337 : x
  2. Step 2: Convert to fraction form
    21,732.50/52,337 = 52,337/x
  3. Step 3: Cross multiply
    21,732.50x = 52,337 × 52,337
  4. Step 4: Simplify right side
    21,732.50x = 2,739,161,569
  5. Step 5: Solve for x
    x = 2,739,161,569/21,732.50
  6. Step 6: Final answer
    x = 126,039.87

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.