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Finding the Third Proportional to 15,841.69 and 22,147.88

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Solution

The third proportional to 15,841.69 and 22,147.88 is: 30,964.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,841.69 : 22,147.88 = 22,147.88 : x
  2. Step 2: Convert to fraction form
    15,841.69/22,147.88 = 22,147.88/x
  3. Step 3: Cross multiply
    15,841.69x = 22,147.88 × 22,147.88
  4. Step 4: Simplify right side
    15,841.69x = 490,528,367.02
  5. Step 5: Solve for x
    x = 490,528,367.02/15,841.69
  6. Step 6: Final answer
    x = 30,964.40

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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.