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Finding the Third Proportional to 10,473 and 22,161

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Solution

The third proportional to 10,473 and 22,161 is: 46,892.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473 : 22,161 = 22,161 : x
  2. Step 2: Convert to fraction form
    10,473/22,161 = 22,161/x
  3. Step 3: Cross multiply
    10,473x = 22,161 × 22,161
  4. Step 4: Simplify right side
    10,473x = 491,109,921
  5. Step 5: Solve for x
    x = 491,109,921/10,473
  6. Step 6: Final answer
    x = 46,892.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.