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Finding the Third Proportional to 21,540.94 and 32,334.19

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Solution

The third proportional to 21,540.94 and 32,334.19 is: 48,535.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,540.94 : 32,334.19 = 32,334.19 : x
  2. Step 2: Convert to fraction form
    21,540.94/32,334.19 = 32,334.19/x
  3. Step 3: Cross multiply
    21,540.94x = 32,334.19 × 32,334.19
  4. Step 4: Simplify right side
    21,540.94x = 1,045,499,681.29
  5. Step 5: Solve for x
    x = 1,045,499,681.29/21,540.94
  6. Step 6: Final answer
    x = 48,535.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.