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Finding the Third Proportional to 32,379 and 70,642

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Solution

The third proportional to 32,379 and 70,642 is: 154,121.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,379 : 70,642 = 70,642 : x
  2. Step 2: Convert to fraction form
    32,379/70,642 = 70,642/x
  3. Step 3: Cross multiply
    32,379x = 70,642 × 70,642
  4. Step 4: Simplify right side
    32,379x = 4,990,292,164
  5. Step 5: Solve for x
    x = 4,990,292,164/32,379
  6. Step 6: Final answer
    x = 154,121.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.