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Finding the Third Proportional to 21,444.75 and 32,121.56

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Solution

The third proportional to 21,444.75 and 32,121.56 is: 48,114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,444.75 : 32,121.56 = 32,121.56 : x
  2. Step 2: Convert to fraction form
    21,444.75/32,121.56 = 32,121.56/x
  3. Step 3: Cross multiply
    21,444.75x = 32,121.56 × 32,121.56
  4. Step 4: Simplify right side
    21,444.75x = 1,031,794,777.44
  5. Step 5: Solve for x
    x = 1,031,794,777.44/21,444.75
  6. Step 6: Final answer
    x = 48,114.10

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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.