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Finding the Third Proportional to 10,421.44 and 22,819.31

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Solution

The third proportional to 10,421.44 and 22,819.31 is: 49,966.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421.44 : 22,819.31 = 22,819.31 : x
  2. Step 2: Convert to fraction form
    10,421.44/22,819.31 = 22,819.31/x
  3. Step 3: Cross multiply
    10,421.44x = 22,819.31 × 22,819.31
  4. Step 4: Simplify right side
    10,421.44x = 520,721,022.97
  5. Step 5: Solve for x
    x = 520,721,022.97/10,421.44
  6. Step 6: Final answer
    x = 49,966.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.