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Finding the Third Proportional to 10,421 and 22,208

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Solution

The third proportional to 10,421 and 22,208 is: 47,327.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421 : 22,208 = 22,208 : x
  2. Step 2: Convert to fraction form
    10,421/22,208 = 22,208/x
  3. Step 3: Cross multiply
    10,421x = 22,208 × 22,208
  4. Step 4: Simplify right side
    10,421x = 493,195,264
  5. Step 5: Solve for x
    x = 493,195,264/10,421
  6. Step 6: Final answer
    x = 47,327.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.