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Finding the Third Proportional to 25,476.75 and 54,037.13

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Solution

The third proportional to 25,476.75 and 54,037.13 is: 114,614.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,476.75 : 54,037.13 = 54,037.13 : x
  2. Step 2: Convert to fraction form
    25,476.75/54,037.13 = 54,037.13/x
  3. Step 3: Cross multiply
    25,476.75x = 54,037.13 × 54,037.13
  4. Step 4: Simplify right side
    25,476.75x = 2,920,010,878.27
  5. Step 5: Solve for x
    x = 2,920,010,878.27/25,476.75
  6. Step 6: Final answer
    x = 114,614.73

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Why These Related Problems?

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