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Finding the Third Proportional to 21,782.25 and 32,586.75

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Solution

The third proportional to 21,782.25 and 32,586.75 is: 48,750.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782.25 : 32,586.75 = 32,586.75 : x
  2. Step 2: Convert to fraction form
    21,782.25/32,586.75 = 32,586.75/x
  3. Step 3: Cross multiply
    21,782.25x = 32,586.75 × 32,586.75
  4. Step 4: Simplify right side
    21,782.25x = 1,061,896,275.56
  5. Step 5: Solve for x
    x = 1,061,896,275.56/21,782.25
  6. Step 6: Final answer
    x = 48,750.53

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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.