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Finding the Third Proportional to 21,837.38 and 32,963.63

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Solution

The third proportional to 21,837.38 and 32,963.63 is: 49,758.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,837.38 : 32,963.63 = 32,963.63 : x
  2. Step 2: Convert to fraction form
    21,837.38/32,963.63 = 32,963.63/x
  3. Step 3: Cross multiply
    21,837.38x = 32,963.63 × 32,963.63
  4. Step 4: Simplify right side
    21,837.38x = 1,086,600,573.14
  5. Step 5: Solve for x
    x = 1,086,600,573.14/21,837.38
  6. Step 6: Final answer
    x = 49,758.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.