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Finding the Third Proportional to 15,841.50 and 22,147

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Solution

The third proportional to 15,841.50 and 22,147 is: 30,962.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,841.50 : 22,147 = 22,147 : x
  2. Step 2: Convert to fraction form
    15,841.50/22,147 = 22,147/x
  3. Step 3: Cross multiply
    15,841.50x = 22,147 × 22,147
  4. Step 4: Simplify right side
    15,841.50x = 490,489,609
  5. Step 5: Solve for x
    x = 490,489,609/15,841.50
  6. Step 6: Final answer
    x = 30,962.32

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.