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Finding the Third Proportional to 32,940 and 72,031

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Solution

The third proportional to 32,940 and 72,031 is: 157,512.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,940 : 72,031 = 72,031 : x
  2. Step 2: Convert to fraction form
    32,940/72,031 = 72,031/x
  3. Step 3: Cross multiply
    32,940x = 72,031 × 72,031
  4. Step 4: Simplify right side
    32,940x = 5,188,464,961
  5. Step 5: Solve for x
    x = 5,188,464,961/32,940
  6. Step 6: Final answer
    x = 157,512.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.