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Finding the Third Proportional to 21,776 and 33,348

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Solution

The third proportional to 21,776 and 33,348 is: 51,069.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,776 : 33,348 = 33,348 : x
  2. Step 2: Convert to fraction form
    21,776/33,348 = 33,348/x
  3. Step 3: Cross multiply
    21,776x = 33,348 × 33,348
  4. Step 4: Simplify right side
    21,776x = 1,112,089,104
  5. Step 5: Solve for x
    x = 1,112,089,104/21,776
  6. Step 6: Final answer
    x = 51,069.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.