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Finding the Third Proportional to 25,021.13 and 54,964.13

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Solution

The third proportional to 25,021.13 and 54,964.13 is: 120,740.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,021.13 : 54,964.13 = 54,964.13 : x
  2. Step 2: Convert to fraction form
    25,021.13/54,964.13 = 54,964.13/x
  3. Step 3: Cross multiply
    25,021.13x = 54,964.13 × 54,964.13
  4. Step 4: Simplify right side
    25,021.13x = 3,021,055,037.02
  5. Step 5: Solve for x
    x = 3,021,055,037.02/25,021.13
  6. Step 6: Final answer
    x = 120,740.18

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.