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Finding the Third Proportional to 15,644.25 and 32,583.38

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Solution

The third proportional to 15,644.25 and 32,583.38 is: 67,863.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,644.25 : 32,583.38 = 32,583.38 : x
  2. Step 2: Convert to fraction form
    15,644.25/32,583.38 = 32,583.38/x
  3. Step 3: Cross multiply
    15,644.25x = 32,583.38 × 32,583.38
  4. Step 4: Simplify right side
    15,644.25x = 1,061,676,326.39
  5. Step 5: Solve for x
    x = 1,061,676,326.39/15,644.25
  6. Step 6: Final answer
    x = 67,863.68

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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.