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Finding the Third Proportional to 25,089.75 and 34,404.38

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Solution

The third proportional to 25,089.75 and 34,404.38 is: 47,177.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,089.75 : 34,404.38 = 34,404.38 : x
  2. Step 2: Convert to fraction form
    25,089.75/34,404.38 = 34,404.38/x
  3. Step 3: Cross multiply
    25,089.75x = 34,404.38 × 34,404.38
  4. Step 4: Simplify right side
    25,089.75x = 1,183,661,019.14
  5. Step 5: Solve for x
    x = 1,183,661,019.14/25,089.75
  6. Step 6: Final answer
    x = 47,177.08

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.