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Finding the Third Proportional to 22,986.28 and 34,786.97

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Solution

The third proportional to 22,986.28 and 34,786.97 is: 52,645.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,986.28 : 34,786.97 = 34,786.97 : x
  2. Step 2: Convert to fraction form
    22,986.28/34,786.97 = 34,786.97/x
  3. Step 3: Cross multiply
    22,986.28x = 34,786.97 × 34,786.97
  4. Step 4: Simplify right side
    22,986.28x = 1,210,133,194.81
  5. Step 5: Solve for x
    x = 1,210,133,194.81/22,986.28
  6. Step 6: Final answer
    x = 52,645.89

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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.