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Finding the Third Proportional to 8,532.84 and 12,366.42

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Solution

The third proportional to 8,532.84 and 12,366.42 is: 17,922.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.84 : 12,366.42 = 12,366.42 : x
  2. Step 2: Convert to fraction form
    8,532.84/12,366.42 = 12,366.42/x
  3. Step 3: Cross multiply
    8,532.84x = 12,366.42 × 12,366.42
  4. Step 4: Simplify right side
    8,532.84x = 152,928,389.99
  5. Step 5: Solve for x
    x = 152,928,389.99/8,532.84
  6. Step 6: Final answer
    x = 17,922.32

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.