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Finding the Third Proportional to 4,718.81 and 11,020.78

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Solution

The third proportional to 4,718.81 and 11,020.78 is: 25,739.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,718.81 : 11,020.78 = 11,020.78 : x
  2. Step 2: Convert to fraction form
    4,718.81/11,020.78 = 11,020.78/x
  3. Step 3: Cross multiply
    4,718.81x = 11,020.78 × 11,020.78
  4. Step 4: Simplify right side
    4,718.81x = 121,457,619.36
  5. Step 5: Solve for x
    x = 121,457,619.36/4,718.81
  6. Step 6: Final answer
    x = 25,739.02

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.