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Finding the Third Proportional to 32,481 and 69,797

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Solution

The third proportional to 32,481 and 69,797 is: 149,983.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,481 : 69,797 = 69,797 : x
  2. Step 2: Convert to fraction form
    32,481/69,797 = 69,797/x
  3. Step 3: Cross multiply
    32,481x = 69,797 × 69,797
  4. Step 4: Simplify right side
    32,481x = 4,871,621,209
  5. Step 5: Solve for x
    x = 4,871,621,209/32,481
  6. Step 6: Final answer
    x = 149,983.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.