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Finding the Third Proportional to 8,786.25 and 20,182.50

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Solution

The third proportional to 8,786.25 and 20,182.50 is: 46,360.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,786.25 : 20,182.50 = 20,182.50 : x
  2. Step 2: Convert to fraction form
    8,786.25/20,182.50 = 20,182.50/x
  3. Step 3: Cross multiply
    8,786.25x = 20,182.50 × 20,182.50
  4. Step 4: Simplify right side
    8,786.25x = 407,333,306.25
  5. Step 5: Solve for x
    x = 407,333,306.25/8,786.25
  6. Step 6: Final answer
    x = 46,360.31

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.