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Finding the Third Proportional to 4,495.56 and 9,811.19

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Solution

The third proportional to 4,495.56 and 9,811.19 is: 21,412.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,495.56 : 9,811.19 = 9,811.19 : x
  2. Step 2: Convert to fraction form
    4,495.56/9,811.19 = 9,811.19/x
  3. Step 3: Cross multiply
    4,495.56x = 9,811.19 × 9,811.19
  4. Step 4: Simplify right side
    4,495.56x = 96,259,400.16
  5. Step 5: Solve for x
    x = 96,259,400.16/4,495.56
  6. Step 6: Final answer
    x = 21,412.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.