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Finding the Third Proportional to 35,331 and 52,997

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Solution

The third proportional to 35,331 and 52,997 is: 79,496.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,331 : 52,997 = 52,997 : x
  2. Step 2: Convert to fraction form
    35,331/52,997 = 52,997/x
  3. Step 3: Cross multiply
    35,331x = 52,997 × 52,997
  4. Step 4: Simplify right side
    35,331x = 2,808,682,009
  5. Step 5: Solve for x
    x = 2,808,682,009/35,331
  6. Step 6: Final answer
    x = 79,496.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.