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Finding the Third Proportional to 21,186 and 32,349

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Solution

The third proportional to 21,186 and 32,349 is: 49,393.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,186 : 32,349 = 32,349 : x
  2. Step 2: Convert to fraction form
    21,186/32,349 = 32,349/x
  3. Step 3: Cross multiply
    21,186x = 32,349 × 32,349
  4. Step 4: Simplify right side
    21,186x = 1,046,457,801
  5. Step 5: Solve for x
    x = 1,046,457,801/21,186
  6. Step 6: Final answer
    x = 49,393.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.