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Finding the Third Proportional to 21,776 and 23,936

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Solution

The third proportional to 21,776 and 23,936 is: 26,310.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,776 : 23,936 = 23,936 : x
  2. Step 2: Convert to fraction form
    21,776/23,936 = 23,936/x
  3. Step 3: Cross multiply
    21,776x = 23,936 × 23,936
  4. Step 4: Simplify right side
    21,776x = 572,932,096
  5. Step 5: Solve for x
    x = 572,932,096/21,776
  6. Step 6: Final answer
    x = 26,310.25

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.