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Finding the Third Proportional to 3,697.13 and 8,079.38

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Solution

The third proportional to 3,697.13 and 8,079.38 is: 17,655.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.13 : 8,079.38 = 8,079.38 : x
  2. Step 2: Convert to fraction form
    3,697.13/8,079.38 = 8,079.38/x
  3. Step 3: Cross multiply
    3,697.13x = 8,079.38 × 8,079.38
  4. Step 4: Simplify right side
    3,697.13x = 65,276,300.39
  5. Step 5: Solve for x
    x = 65,276,300.39/3,697.13
  6. Step 6: Final answer
    x = 17,655.96

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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.