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Finding the Third Proportional to 31,697.16 and 49,054.78

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Solution

The third proportional to 31,697.16 and 49,054.78 is: 75,917.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,697.16 : 49,054.78 = 49,054.78 : x
  2. Step 2: Convert to fraction form
    31,697.16/49,054.78 = 49,054.78/x
  3. Step 3: Cross multiply
    31,697.16x = 49,054.78 × 49,054.78
  4. Step 4: Simplify right side
    31,697.16x = 2,406,371,563.49
  5. Step 5: Solve for x
    x = 2,406,371,563.49/31,697.16
  6. Step 6: Final answer
    x = 75,917.59

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.