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Finding the Third Proportional to 20,810.25 and 26,952.75

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Solution

The third proportional to 20,810.25 and 26,952.75 is: 34,908.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,810.25 : 26,952.75 = 26,952.75 : x
  2. Step 2: Convert to fraction form
    20,810.25/26,952.75 = 26,952.75/x
  3. Step 3: Cross multiply
    20,810.25x = 26,952.75 × 26,952.75
  4. Step 4: Simplify right side
    20,810.25x = 726,450,732.56
  5. Step 5: Solve for x
    x = 726,450,732.56/20,810.25
  6. Step 6: Final answer
    x = 34,908.31

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.