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Finding the Third Proportional to 8,532.75 and 13,356.50

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Solution

The third proportional to 8,532.75 and 13,356.50 is: 20,907.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.75 : 13,356.50 = 13,356.50 : x
  2. Step 2: Convert to fraction form
    8,532.75/13,356.50 = 13,356.50/x
  3. Step 3: Cross multiply
    8,532.75x = 13,356.50 × 13,356.50
  4. Step 4: Simplify right side
    8,532.75x = 178,396,092.25
  5. Step 5: Solve for x
    x = 178,396,092.25/8,532.75
  6. Step 6: Final answer
    x = 20,907.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.