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Finding the Third Proportional to 21,216.38 and 32,092.88

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Solution

The third proportional to 21,216.38 and 32,092.88 is: 48,545.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,216.38 : 32,092.88 = 32,092.88 : x
  2. Step 2: Convert to fraction form
    21,216.38/32,092.88 = 32,092.88/x
  3. Step 3: Cross multiply
    21,216.38x = 32,092.88 × 32,092.88
  4. Step 4: Simplify right side
    21,216.38x = 1,029,952,625.77
  5. Step 5: Solve for x
    x = 1,029,952,625.77/21,216.38
  6. Step 6: Final answer
    x = 48,545.17

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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.