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Finding the Third Proportional to 7,783.18 and 16,796.54

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Solution

The third proportional to 7,783.18 and 16,796.54 is: 36,247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.18 : 16,796.54 = 16,796.54 : x
  2. Step 2: Convert to fraction form
    7,783.18/16,796.54 = 16,796.54/x
  3. Step 3: Cross multiply
    7,783.18x = 16,796.54 × 16,796.54
  4. Step 4: Simplify right side
    7,783.18x = 282,123,904.91
  5. Step 5: Solve for x
    x = 282,123,904.91/7,783.18
  6. Step 6: Final answer
    x = 36,247.90

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.