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Finding the Third Proportional to 31,475.81 and 67,610.53

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Solution

The third proportional to 31,475.81 and 67,610.53 is: 145,228.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,475.81 : 67,610.53 = 67,610.53 : x
  2. Step 2: Convert to fraction form
    31,475.81/67,610.53 = 67,610.53/x
  3. Step 3: Cross multiply
    31,475.81x = 67,610.53 × 67,610.53
  4. Step 4: Simplify right side
    31,475.81x = 4,571,183,935.91
  5. Step 5: Solve for x
    x = 4,571,183,935.91/31,475.81
  6. Step 6: Final answer
    x = 145,228.47

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.