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Finding the Third Proportional to 21,534 and 33,252

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Solution

The third proportional to 21,534 and 33,252 is: 51,346.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,534 : 33,252 = 33,252 : x
  2. Step 2: Convert to fraction form
    21,534/33,252 = 33,252/x
  3. Step 3: Cross multiply
    21,534x = 33,252 × 33,252
  4. Step 4: Simplify right side
    21,534x = 1,105,695,504
  5. Step 5: Solve for x
    x = 1,105,695,504/21,534
  6. Step 6: Final answer
    x = 51,346.50

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Why These Related Problems?

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