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Finding the Third Proportional to 31,927.50 and 51,443.44

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Solution

The third proportional to 31,927.50 and 51,443.44 is: 82,888.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,927.50 : 51,443.44 = 51,443.44 : x
  2. Step 2: Convert to fraction form
    31,927.50/51,443.44 = 51,443.44/x
  3. Step 3: Cross multiply
    31,927.50x = 51,443.44 × 51,443.44
  4. Step 4: Simplify right side
    31,927.50x = 2,646,427,261.82
  5. Step 5: Solve for x
    x = 2,646,427,261.82/31,927.50
  6. Step 6: Final answer
    x = 82,888.65

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.