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Finding the Third Proportional to 25,514.16 and 54,065.81

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Solution

The third proportional to 25,514.16 and 54,065.81 is: 114,568.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,514.16 : 54,065.81 = 54,065.81 : x
  2. Step 2: Convert to fraction form
    25,514.16/54,065.81 = 54,065.81/x
  3. Step 3: Cross multiply
    25,514.16x = 54,065.81 × 54,065.81
  4. Step 4: Simplify right side
    25,514.16x = 2,923,112,081.29
  5. Step 5: Solve for x
    x = 2,923,112,081.29/25,514.16
  6. Step 6: Final answer
    x = 114,568.24

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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.