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Finding the Third Proportional to 3,695.88 and 8,076.88

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Solution

The third proportional to 3,695.88 and 8,076.88 is: 17,651.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.88 : 8,076.88 = 8,076.88 : x
  2. Step 2: Convert to fraction form
    3,695.88/8,076.88 = 8,076.88/x
  3. Step 3: Cross multiply
    3,695.88x = 8,076.88 × 8,076.88
  4. Step 4: Simplify right side
    3,695.88x = 65,235,909.77
  5. Step 5: Solve for x
    x = 65,235,909.77/3,695.88
  6. Step 6: Final answer
    x = 17,651.01

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.