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Finding the Third Proportional to 31,063.50 and 67,376.81

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Solution

The third proportional to 31,063.50 and 67,376.81 is: 146,140.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,063.50 : 67,376.81 = 67,376.81 : x
  2. Step 2: Convert to fraction form
    31,063.50/67,376.81 = 67,376.81/x
  3. Step 3: Cross multiply
    31,063.50x = 67,376.81 × 67,376.81
  4. Step 4: Simplify right side
    31,063.50x = 4,539,634,862.66
  5. Step 5: Solve for x
    x = 4,539,634,862.66/31,063.50
  6. Step 6: Final answer
    x = 146,140.48

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.