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Finding the Third Proportional to 6,724.50 and 10,633.50

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Solution

The third proportional to 6,724.50 and 10,633.50 is: 16,814.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,724.50 : 10,633.50 = 10,633.50 : x
  2. Step 2: Convert to fraction form
    6,724.50/10,633.50 = 10,633.50/x
  3. Step 3: Cross multiply
    6,724.50x = 10,633.50 × 10,633.50
  4. Step 4: Simplify right side
    6,724.50x = 113,071,322.25
  5. Step 5: Solve for x
    x = 113,071,322.25/6,724.50
  6. Step 6: Final answer
    x = 16,814.83

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.