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Finding the Third Proportional to 5,811.35 and 8,717.03

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Solution

The third proportional to 5,811.35 and 8,717.03 is: 13,075.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.35 : 8,717.03 = 8,717.03 : x
  2. Step 2: Convert to fraction form
    5,811.35/8,717.03 = 8,717.03/x
  3. Step 3: Cross multiply
    5,811.35x = 8,717.03 × 8,717.03
  4. Step 4: Simplify right side
    5,811.35x = 75,986,642.33
  5. Step 5: Solve for x
    x = 75,986,642.33/5,811.35
  6. Step 6: Final answer
    x = 13,075.55

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