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Finding the Third Proportional to 31,991 and 50,618

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Solution

The third proportional to 31,991 and 50,618 is: 80,090.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,991 : 50,618 = 50,618 : x
  2. Step 2: Convert to fraction form
    31,991/50,618 = 50,618/x
  3. Step 3: Cross multiply
    31,991x = 50,618 × 50,618
  4. Step 4: Simplify right side
    31,991x = 2,562,181,924
  5. Step 5: Solve for x
    x = 2,562,181,924/31,991
  6. Step 6: Final answer
    x = 80,090.71

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.