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Finding the Third Proportional to 6,798.94 and 14,767.31

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Solution

The third proportional to 6,798.94 and 14,767.31 is: 32,074.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798.94 : 14,767.31 = 14,767.31 : x
  2. Step 2: Convert to fraction form
    6,798.94/14,767.31 = 14,767.31/x
  3. Step 3: Cross multiply
    6,798.94x = 14,767.31 × 14,767.31
  4. Step 4: Simplify right side
    6,798.94x = 218,073,518.47
  5. Step 5: Solve for x
    x = 218,073,518.47/6,798.94
  6. Step 6: Final answer
    x = 32,074.65

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.