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Finding the Third Proportional to 10,121.44 and 22,235.63

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Solution

The third proportional to 10,121.44 and 22,235.63 is: 48,849.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,121.44 : 22,235.63 = 22,235.63 : x
  2. Step 2: Convert to fraction form
    10,121.44/22,235.63 = 22,235.63/x
  3. Step 3: Cross multiply
    10,121.44x = 22,235.63 × 22,235.63
  4. Step 4: Simplify right side
    10,121.44x = 494,423,019.14
  5. Step 5: Solve for x
    x = 494,423,019.14/10,121.44
  6. Step 6: Final answer
    x = 48,849.09

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.