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Finding the Third Proportional to 21,342 and 32,974.50

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Solution

The third proportional to 21,342 and 32,974.50 is: 50,947.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,342 : 32,974.50 = 32,974.50 : x
  2. Step 2: Convert to fraction form
    21,342/32,974.50 = 32,974.50/x
  3. Step 3: Cross multiply
    21,342x = 32,974.50 × 32,974.50
  4. Step 4: Simplify right side
    21,342x = 1,087,317,650.25
  5. Step 5: Solve for x
    x = 1,087,317,650.25/21,342
  6. Step 6: Final answer
    x = 50,947.32

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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.