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Finding the Third Proportional to 22,462.31 and 34,616.11

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Solution

The third proportional to 22,462.31 and 34,616.11 is: 53,346.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,462.31 : 34,616.11 = 34,616.11 : x
  2. Step 2: Convert to fraction form
    22,462.31/34,616.11 = 34,616.11/x
  3. Step 3: Cross multiply
    22,462.31x = 34,616.11 × 34,616.11
  4. Step 4: Simplify right side
    22,462.31x = 1,198,275,028.26
  5. Step 5: Solve for x
    x = 1,198,275,028.26/22,462.31
  6. Step 6: Final answer
    x = 53,346.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.