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Finding the Third Proportional to 21,818.25 and 32,697

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Solution

The third proportional to 21,818.25 and 32,697 is: 48,999.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,818.25 : 32,697 = 32,697 : x
  2. Step 2: Convert to fraction form
    21,818.25/32,697 = 32,697/x
  3. Step 3: Cross multiply
    21,818.25x = 32,697 × 32,697
  4. Step 4: Simplify right side
    21,818.25x = 1,069,093,809
  5. Step 5: Solve for x
    x = 1,069,093,809/21,818.25
  6. Step 6: Final answer
    x = 48,999.98

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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.