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Finding the Third Proportional to 10,573 and 22,644

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Solution

The third proportional to 10,573 and 22,644 is: 48,496.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573 : 22,644 = 22,644 : x
  2. Step 2: Convert to fraction form
    10,573/22,644 = 22,644/x
  3. Step 3: Cross multiply
    10,573x = 22,644 × 22,644
  4. Step 4: Simplify right side
    10,573x = 512,750,736
  5. Step 5: Solve for x
    x = 512,750,736/10,573
  6. Step 6: Final answer
    x = 48,496.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.