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Finding the Third Proportional to 8,756 and 13,295.50

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Solution

The third proportional to 8,756 and 13,295.50 is: 20,188.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,756 : 13,295.50 = 13,295.50 : x
  2. Step 2: Convert to fraction form
    8,756/13,295.50 = 13,295.50/x
  3. Step 3: Cross multiply
    8,756x = 13,295.50 × 13,295.50
  4. Step 4: Simplify right side
    8,756x = 176,770,320.25
  5. Step 5: Solve for x
    x = 176,770,320.25/8,756
  6. Step 6: Final answer
    x = 20,188.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.