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Finding the Third Proportional to 21,388 and 33,596

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Solution

The third proportional to 21,388 and 33,596 is: 52,772.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,388 : 33,596 = 33,596 : x
  2. Step 2: Convert to fraction form
    21,388/33,596 = 33,596/x
  3. Step 3: Cross multiply
    21,388x = 33,596 × 33,596
  4. Step 4: Simplify right side
    21,388x = 1,128,691,216
  5. Step 5: Solve for x
    x = 1,128,691,216/21,388
  6. Step 6: Final answer
    x = 52,772.17

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.