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Finding the Third Proportional to 32,713 and 50,349

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Solution

The third proportional to 32,713 and 50,349 is: 77,492.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,713 : 50,349 = 50,349 : x
  2. Step 2: Convert to fraction form
    32,713/50,349 = 50,349/x
  3. Step 3: Cross multiply
    32,713x = 50,349 × 50,349
  4. Step 4: Simplify right side
    32,713x = 2,535,021,801
  5. Step 5: Solve for x
    x = 2,535,021,801/32,713
  6. Step 6: Final answer
    x = 77,492.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.