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Finding the Third Proportional to 3,099.38 and 6,501.94

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Solution

The third proportional to 3,099.38 and 6,501.94 is: 13,639.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.38 : 6,501.94 = 6,501.94 : x
  2. Step 2: Convert to fraction form
    3,099.38/6,501.94 = 6,501.94/x
  3. Step 3: Cross multiply
    3,099.38x = 6,501.94 × 6,501.94
  4. Step 4: Simplify right side
    3,099.38x = 42,275,191.25
  5. Step 5: Solve for x
    x = 42,275,191.25/3,099.38
  6. Step 6: Final answer
    x = 13,639.91

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.