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Finding the Third Proportional to 5,811.35 and 8,758.68

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Solution

The third proportional to 5,811.35 and 8,758.68 is: 13,200.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.35 : 8,758.68 = 8,758.68 : x
  2. Step 2: Convert to fraction form
    5,811.35/8,758.68 = 8,758.68/x
  3. Step 3: Cross multiply
    5,811.35x = 8,758.68 × 8,758.68
  4. Step 4: Simplify right side
    5,811.35x = 76,714,452.76
  5. Step 5: Solve for x
    x = 76,714,452.76/5,811.35
  6. Step 6: Final answer
    x = 13,200.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.