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Finding the Third Proportional to 10,198.13 and 21,621.38

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Solution

The third proportional to 10,198.13 and 21,621.38 is: 45,840.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198.13 : 21,621.38 = 21,621.38 : x
  2. Step 2: Convert to fraction form
    10,198.13/21,621.38 = 21,621.38/x
  3. Step 3: Cross multiply
    10,198.13x = 21,621.38 × 21,621.38
  4. Step 4: Simplify right side
    10,198.13x = 467,483,856.89
  5. Step 5: Solve for x
    x = 467,483,856.89/10,198.13
  6. Step 6: Final answer
    x = 45,840.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.