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Finding the Third Proportional to 22,035.16 and 45,243.56

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Solution

The third proportional to 22,035.16 and 45,243.56 is: 92,896.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,035.16 : 45,243.56 = 45,243.56 : x
  2. Step 2: Convert to fraction form
    22,035.16/45,243.56 = 45,243.56/x
  3. Step 3: Cross multiply
    22,035.16x = 45,243.56 × 45,243.56
  4. Step 4: Simplify right side
    22,035.16x = 2,046,979,947.69
  5. Step 5: Solve for x
    x = 2,046,979,947.69/22,035.16
  6. Step 6: Final answer
    x = 92,896.06

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.