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Finding the Third Proportional to 21,044.25 and 31,920.75

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Solution

The third proportional to 21,044.25 and 31,920.75 is: 48,418.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,044.25 : 31,920.75 = 31,920.75 : x
  2. Step 2: Convert to fraction form
    21,044.25/31,920.75 = 31,920.75/x
  3. Step 3: Cross multiply
    21,044.25x = 31,920.75 × 31,920.75
  4. Step 4: Simplify right side
    21,044.25x = 1,018,934,280.56
  5. Step 5: Solve for x
    x = 1,018,934,280.56/21,044.25
  6. Step 6: Final answer
    x = 48,418.66

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.