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Finding the Third Proportional to 8,622.75 and 13,356.75

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Solution

The third proportional to 8,622.75 and 13,356.75 is: 20,689.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,622.75 : 13,356.75 = 13,356.75 : x
  2. Step 2: Convert to fraction form
    8,622.75/13,356.75 = 13,356.75/x
  3. Step 3: Cross multiply
    8,622.75x = 13,356.75 × 13,356.75
  4. Step 4: Simplify right side
    8,622.75x = 178,402,770.56
  5. Step 5: Solve for x
    x = 178,402,770.56/8,622.75
  6. Step 6: Final answer
    x = 20,689.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.