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Finding the Third Proportional to 21,904 and 33,706

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Solution

The third proportional to 21,904 and 33,706 is: 51,866.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,904 : 33,706 = 33,706 : x
  2. Step 2: Convert to fraction form
    21,904/33,706 = 33,706/x
  3. Step 3: Cross multiply
    21,904x = 33,706 × 33,706
  4. Step 4: Simplify right side
    21,904x = 1,136,094,436
  5. Step 5: Solve for x
    x = 1,136,094,436/21,904
  6. Step 6: Final answer
    x = 51,866.98

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.