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Finding the Third Proportional to 31,474.41 and 67,975.59

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Solution

The third proportional to 31,474.41 and 67,975.59 is: 146,807.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,474.41 : 67,975.59 = 67,975.59 : x
  2. Step 2: Convert to fraction form
    31,474.41/67,975.59 = 67,975.59/x
  3. Step 3: Cross multiply
    31,474.41x = 67,975.59 × 67,975.59
  4. Step 4: Simplify right side
    31,474.41x = 4,620,681,345.67
  5. Step 5: Solve for x
    x = 4,620,681,345.67/31,474.41
  6. Step 6: Final answer
    x = 146,807.58

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.