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Finding the Third Proportional to 27,574.59 and 41,250.09

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Solution

The third proportional to 27,574.59 and 41,250.09 is: 61,707.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,574.59 : 41,250.09 = 41,250.09 : x
  2. Step 2: Convert to fraction form
    27,574.59/41,250.09 = 41,250.09/x
  3. Step 3: Cross multiply
    27,574.59x = 41,250.09 × 41,250.09
  4. Step 4: Simplify right side
    27,574.59x = 1,701,570,234.38
  5. Step 5: Solve for x
    x = 1,701,570,234.38/27,574.59
  6. Step 6: Final answer
    x = 61,707.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.