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Finding the Third Proportional to 32,924 and 71,383

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Solution

The third proportional to 32,924 and 71,383 is: 154,766.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,924 : 71,383 = 71,383 : x
  2. Step 2: Convert to fraction form
    32,924/71,383 = 71,383/x
  3. Step 3: Cross multiply
    32,924x = 71,383 × 71,383
  4. Step 4: Simplify right side
    32,924x = 5,095,532,689
  5. Step 5: Solve for x
    x = 5,095,532,689/32,924
  6. Step 6: Final answer
    x = 154,766.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.