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Finding the Third Proportional to 10,521 and 21,384

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Solution

The third proportional to 10,521 and 21,384 is: 43,463.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,521 : 21,384 = 21,384 : x
  2. Step 2: Convert to fraction form
    10,521/21,384 = 21,384/x
  3. Step 3: Cross multiply
    10,521x = 21,384 × 21,384
  4. Step 4: Simplify right side
    10,521x = 457,275,456
  5. Step 5: Solve for x
    x = 457,275,456/10,521
  6. Step 6: Final answer
    x = 43,463.12

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.