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Finding the Third Proportional to 21,132.50 and 32,704

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Solution

The third proportional to 21,132.50 and 32,704 is: 50,611.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,132.50 : 32,704 = 32,704 : x
  2. Step 2: Convert to fraction form
    21,132.50/32,704 = 32,704/x
  3. Step 3: Cross multiply
    21,132.50x = 32,704 × 32,704
  4. Step 4: Simplify right side
    21,132.50x = 1,069,551,616
  5. Step 5: Solve for x
    x = 1,069,551,616/21,132.50
  6. Step 6: Final answer
    x = 50,611.69

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.