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Finding the Third Proportional to 8,704.88 and 13,261.31

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Solution

The third proportional to 8,704.88 and 13,261.31 is: 20,202.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,704.88 : 13,261.31 = 13,261.31 : x
  2. Step 2: Convert to fraction form
    8,704.88/13,261.31 = 13,261.31/x
  3. Step 3: Cross multiply
    8,704.88x = 13,261.31 × 13,261.31
  4. Step 4: Simplify right side
    8,704.88x = 175,862,409.22
  5. Step 5: Solve for x
    x = 175,862,409.22/8,704.88
  6. Step 6: Final answer
    x = 20,202.75

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.