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Finding the Third Proportional to 20,468 and 32,349

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Solution

The third proportional to 20,468 and 32,349 is: 51,126.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,468 : 32,349 = 32,349 : x
  2. Step 2: Convert to fraction form
    20,468/32,349 = 32,349/x
  3. Step 3: Cross multiply
    20,468x = 32,349 × 32,349
  4. Step 4: Simplify right side
    20,468x = 1,046,457,801
  5. Step 5: Solve for x
    x = 1,046,457,801/20,468
  6. Step 6: Final answer
    x = 51,126.53

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.