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Finding the Third Proportional to 32,912 and 47,031

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Solution

The third proportional to 32,912 and 47,031 is: 67,206.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,912 : 47,031 = 47,031 : x
  2. Step 2: Convert to fraction form
    32,912/47,031 = 47,031/x
  3. Step 3: Cross multiply
    32,912x = 47,031 × 47,031
  4. Step 4: Simplify right side
    32,912x = 2,211,914,961
  5. Step 5: Solve for x
    x = 2,211,914,961/32,912
  6. Step 6: Final answer
    x = 67,206.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.