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Finding the Third Proportional to 3,782.95 and 5,708.60

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Solution

The third proportional to 3,782.95 and 5,708.60 is: 8,614.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.95 : 5,708.60 = 5,708.60 : x
  2. Step 2: Convert to fraction form
    3,782.95/5,708.60 = 5,708.60/x
  3. Step 3: Cross multiply
    3,782.95x = 5,708.60 × 5,708.60
  4. Step 4: Simplify right side
    3,782.95x = 32,588,131.80
  5. Step 5: Solve for x
    x = 32,588,131.80/3,782.95
  6. Step 6: Final answer
    x = 8,614.47

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