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Finding the Third Proportional to 8,810.25 and 11,959.50

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Solution

The third proportional to 8,810.25 and 11,959.50 is: 16,234.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,810.25 : 11,959.50 = 11,959.50 : x
  2. Step 2: Convert to fraction form
    8,810.25/11,959.50 = 11,959.50/x
  3. Step 3: Cross multiply
    8,810.25x = 11,959.50 × 11,959.50
  4. Step 4: Simplify right side
    8,810.25x = 143,029,640.25
  5. Step 5: Solve for x
    x = 143,029,640.25/8,810.25
  6. Step 6: Final answer
    x = 16,234.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.