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Finding the Third Proportional to 31,376.95 and 43,886.81

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Solution

The third proportional to 31,376.95 and 43,886.81 is: 61,384.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,376.95 : 43,886.81 = 43,886.81 : x
  2. Step 2: Convert to fraction form
    31,376.95/43,886.81 = 43,886.81/x
  3. Step 3: Cross multiply
    31,376.95x = 43,886.81 × 43,886.81
  4. Step 4: Simplify right side
    31,376.95x = 1,926,052,311.41
  5. Step 5: Solve for x
    x = 1,926,052,311.41/31,376.95
  6. Step 6: Final answer
    x = 61,384.30

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.