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Finding the Third Proportional to 4,796.72 and 10,178.16

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Solution

The third proportional to 4,796.72 and 10,178.16 is: 21,597.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,796.72 : 10,178.16 = 10,178.16 : x
  2. Step 2: Convert to fraction form
    4,796.72/10,178.16 = 10,178.16/x
  3. Step 3: Cross multiply
    4,796.72x = 10,178.16 × 10,178.16
  4. Step 4: Simplify right side
    4,796.72x = 103,594,864.65
  5. Step 5: Solve for x
    x = 103,594,864.65/4,796.72
  6. Step 6: Final answer
    x = 21,597.03

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.