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Finding the Third Proportional to 15,198.50 and 22,737

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Solution

The third proportional to 15,198.50 and 22,737 is: 34,014.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,198.50 : 22,737 = 22,737 : x
  2. Step 2: Convert to fraction form
    15,198.50/22,737 = 22,737/x
  3. Step 3: Cross multiply
    15,198.50x = 22,737 × 22,737
  4. Step 4: Simplify right side
    15,198.50x = 516,971,169
  5. Step 5: Solve for x
    x = 516,971,169/15,198.50
  6. Step 6: Final answer
    x = 34,014.62

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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.