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Finding the Third Proportional to 21,311.86 and 32,263.95

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Solution

The third proportional to 21,311.86 and 32,263.95 is: 48,844.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,311.86 : 32,263.95 = 32,263.95 : x
  2. Step 2: Convert to fraction form
    21,311.86/32,263.95 = 32,263.95/x
  3. Step 3: Cross multiply
    21,311.86x = 32,263.95 × 32,263.95
  4. Step 4: Simplify right side
    21,311.86x = 1,040,962,167.13
  5. Step 5: Solve for x
    x = 1,040,962,167.13/21,311.86
  6. Step 6: Final answer
    x = 48,844.27

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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.