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Finding the Third Proportional to 27,314.72 and 36,734.77

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Solution

The third proportional to 27,314.72 and 36,734.77 is: 49,403.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,314.72 : 36,734.77 = 36,734.77 : x
  2. Step 2: Convert to fraction form
    27,314.72/36,734.77 = 36,734.77/x
  3. Step 3: Cross multiply
    27,314.72x = 36,734.77 × 36,734.77
  4. Step 4: Simplify right side
    27,314.72x = 1,349,443,005.52
  5. Step 5: Solve for x
    x = 1,349,443,005.52/27,314.72
  6. Step 6: Final answer
    x = 49,403.51

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.