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Finding the Third Proportional to 6,697.13 and 14,584.78

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Solution

The third proportional to 6,697.13 and 14,584.78 is: 31,762.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.13 : 14,584.78 = 14,584.78 : x
  2. Step 2: Convert to fraction form
    6,697.13/14,584.78 = 14,584.78/x
  3. Step 3: Cross multiply
    6,697.13x = 14,584.78 × 14,584.78
  4. Step 4: Simplify right side
    6,697.13x = 212,715,844.11
  5. Step 5: Solve for x
    x = 212,715,844.11/6,697.13
  6. Step 6: Final answer
    x = 31,762.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.