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Finding the Third Proportional to 22,996.13 and 49,621.22

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Solution

The third proportional to 22,996.13 and 49,621.22 is: 107,073.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,996.13 : 49,621.22 = 49,621.22 : x
  2. Step 2: Convert to fraction form
    22,996.13/49,621.22 = 49,621.22/x
  3. Step 3: Cross multiply
    22,996.13x = 49,621.22 × 49,621.22
  4. Step 4: Simplify right side
    22,996.13x = 2,462,265,350.24
  5. Step 5: Solve for x
    x = 2,462,265,350.24/22,996.13
  6. Step 6: Final answer
    x = 107,073.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.