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Finding the Third Proportional to 3,640.78 and 7,800.05

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Solution

The third proportional to 3,640.78 and 7,800.05 is: 16,710.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.78 : 7,800.05 = 7,800.05 : x
  2. Step 2: Convert to fraction form
    3,640.78/7,800.05 = 7,800.05/x
  3. Step 3: Cross multiply
    3,640.78x = 7,800.05 × 7,800.05
  4. Step 4: Simplify right side
    3,640.78x = 60,840,731.25
  5. Step 5: Solve for x
    x = 60,840,731.25/3,640.78
  6. Step 6: Final answer
    x = 16,710.90

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.