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Finding the Third Proportional to 21,528 and 33,267

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Solution

The third proportional to 21,528 and 33,267 is: 51,407.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,528 : 33,267 = 33,267 : x
  2. Step 2: Convert to fraction form
    21,528/33,267 = 33,267/x
  3. Step 3: Cross multiply
    21,528x = 33,267 × 33,267
  4. Step 4: Simplify right side
    21,528x = 1,106,693,289
  5. Step 5: Solve for x
    x = 1,106,693,289/21,528
  6. Step 6: Final answer
    x = 51,407.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.