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Finding the Third Proportional to 22,935.66 and 34,723.69

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Solution

The third proportional to 22,935.66 and 34,723.69 is: 52,570.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,935.66 : 34,723.69 = 34,723.69 : x
  2. Step 2: Convert to fraction form
    22,935.66/34,723.69 = 34,723.69/x
  3. Step 3: Cross multiply
    22,935.66x = 34,723.69 × 34,723.69
  4. Step 4: Simplify right side
    22,935.66x = 1,205,734,473.60
  5. Step 5: Solve for x
    x = 1,205,734,473.60/22,935.66
  6. Step 6: Final answer
    x = 52,570.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.