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Finding the Third Proportional to 31,858.31 and 66,328.88

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Solution

The third proportional to 31,858.31 and 66,328.88 is: 138,096.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,858.31 : 66,328.88 = 66,328.88 : x
  2. Step 2: Convert to fraction form
    31,858.31/66,328.88 = 66,328.88/x
  3. Step 3: Cross multiply
    31,858.31x = 66,328.88 × 66,328.88
  4. Step 4: Simplify right side
    31,858.31x = 4,399,519,658.77
  5. Step 5: Solve for x
    x = 4,399,519,658.77/31,858.31
  6. Step 6: Final answer
    x = 138,096.44

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.