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Finding the Third Proportional to 21,540.94 and 32,182.31

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Solution

The third proportional to 21,540.94 and 32,182.31 is: 48,080.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,540.94 : 32,182.31 = 32,182.31 : x
  2. Step 2: Convert to fraction form
    21,540.94/32,182.31 = 32,182.31/x
  3. Step 3: Cross multiply
    21,540.94x = 32,182.31 × 32,182.31
  4. Step 4: Simplify right side
    21,540.94x = 1,035,701,237.85
  5. Step 5: Solve for x
    x = 1,035,701,237.85/21,540.94
  6. Step 6: Final answer
    x = 48,080.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.