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Finding the Third Proportional to 5,535.84 and 8,288.58

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Solution

The third proportional to 5,535.84 and 8,288.58 is: 12,410.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,535.84 : 8,288.58 = 8,288.58 : x
  2. Step 2: Convert to fraction form
    5,535.84/8,288.58 = 8,288.58/x
  3. Step 3: Cross multiply
    5,535.84x = 8,288.58 × 8,288.58
  4. Step 4: Simplify right side
    5,535.84x = 68,700,527.33
  5. Step 5: Solve for x
    x = 68,700,527.33/5,535.84
  6. Step 6: Final answer
    x = 12,410.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.