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Finding the Third Proportional to 21,422 and 33,500.50

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Solution

The third proportional to 21,422 and 33,500.50 is: 52,389.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,422 : 33,500.50 = 33,500.50 : x
  2. Step 2: Convert to fraction form
    21,422/33,500.50 = 33,500.50/x
  3. Step 3: Cross multiply
    21,422x = 33,500.50 × 33,500.50
  4. Step 4: Simplify right side
    21,422x = 1,122,283,500.25
  5. Step 5: Solve for x
    x = 1,122,283,500.25/21,422
  6. Step 6: Final answer
    x = 52,389.30

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.