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Finding the Third Proportional to 21,947 and 33,111.50

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Solution

The third proportional to 21,947 and 33,111.50 is: 49,955.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,947 : 33,111.50 = 33,111.50 : x
  2. Step 2: Convert to fraction form
    21,947/33,111.50 = 33,111.50/x
  3. Step 3: Cross multiply
    21,947x = 33,111.50 × 33,111.50
  4. Step 4: Simplify right side
    21,947x = 1,096,371,432.25
  5. Step 5: Solve for x
    x = 1,096,371,432.25/21,947
  6. Step 6: Final answer
    x = 49,955.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.