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Finding the Third Proportional to 13,850 and 32,357

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Solution

The third proportional to 13,850 and 32,357 is: 75,593.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,850 : 32,357 = 32,357 : x
  2. Step 2: Convert to fraction form
    13,850/32,357 = 32,357/x
  3. Step 3: Cross multiply
    13,850x = 32,357 × 32,357
  4. Step 4: Simplify right side
    13,850x = 1,046,975,449
  5. Step 5: Solve for x
    x = 1,046,975,449/13,850
  6. Step 6: Final answer
    x = 75,593.90

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.