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Finding the Third Proportional to 3,598.59 and 7,811.86

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Solution

The third proportional to 3,598.59 and 7,811.86 is: 16,958.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.59 : 7,811.86 = 7,811.86 : x
  2. Step 2: Convert to fraction form
    3,598.59/7,811.86 = 7,811.86/x
  3. Step 3: Cross multiply
    3,598.59x = 7,811.86 × 7,811.86
  4. Step 4: Simplify right side
    3,598.59x = 61,025,146.89
  5. Step 5: Solve for x
    x = 61,025,146.89/3,598.59
  6. Step 6: Final answer
    x = 16,958.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.