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Finding the Third Proportional to 27,402.75 and 37,135.13

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Solution

The third proportional to 27,402.75 and 37,135.13 is: 50,324.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,402.75 : 37,135.13 = 37,135.13 : x
  2. Step 2: Convert to fraction form
    27,402.75/37,135.13 = 37,135.13/x
  3. Step 3: Cross multiply
    27,402.75x = 37,135.13 × 37,135.13
  4. Step 4: Simplify right side
    27,402.75x = 1,379,017,508.77
  5. Step 5: Solve for x
    x = 1,379,017,508.77/27,402.75
  6. Step 6: Final answer
    x = 50,324.06

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.