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Finding the Third Proportional to 27,275.50 and 37,025

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Solution

The third proportional to 27,275.50 and 37,025 is: 50,259.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,275.50 : 37,025 = 37,025 : x
  2. Step 2: Convert to fraction form
    27,275.50/37,025 = 37,025/x
  3. Step 3: Cross multiply
    27,275.50x = 37,025 × 37,025
  4. Step 4: Simplify right side
    27,275.50x = 1,370,850,625
  5. Step 5: Solve for x
    x = 1,370,850,625/27,275.50
  6. Step 6: Final answer
    x = 50,259.41

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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.