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Finding the Third Proportional to 21,282 and 33,684

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Solution

The third proportional to 21,282 and 33,684 is: 53,313.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,282 : 33,684 = 33,684 : x
  2. Step 2: Convert to fraction form
    21,282/33,684 = 33,684/x
  3. Step 3: Cross multiply
    21,282x = 33,684 × 33,684
  4. Step 4: Simplify right side
    21,282x = 1,134,611,856
  5. Step 5: Solve for x
    x = 1,134,611,856/21,282
  6. Step 6: Final answer
    x = 53,313.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.