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Finding the Third Proportional to 32,970 and 73,311

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Solution

The third proportional to 32,970 and 73,311 is: 163,011.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,970 : 73,311 = 73,311 : x
  2. Step 2: Convert to fraction form
    32,970/73,311 = 73,311/x
  3. Step 3: Cross multiply
    32,970x = 73,311 × 73,311
  4. Step 4: Simplify right side
    32,970x = 5,374,502,721
  5. Step 5: Solve for x
    x = 5,374,502,721/32,970
  6. Step 6: Final answer
    x = 163,011.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.