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Finding the Third Proportional to 21,936 and 34,792

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Solution

The third proportional to 21,936 and 34,792 is: 55,182.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,936 : 34,792 = 34,792 : x
  2. Step 2: Convert to fraction form
    21,936/34,792 = 34,792/x
  3. Step 3: Cross multiply
    21,936x = 34,792 × 34,792
  4. Step 4: Simplify right side
    21,936x = 1,210,483,264
  5. Step 5: Solve for x
    x = 1,210,483,264/21,936
  6. Step 6: Final answer
    x = 55,182.50

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.