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Finding the Third Proportional to 32,805 and 67,943

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Solution

The third proportional to 32,805 and 67,943 is: 140,717.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,805 : 67,943 = 67,943 : x
  2. Step 2: Convert to fraction form
    32,805/67,943 = 67,943/x
  3. Step 3: Cross multiply
    32,805x = 67,943 × 67,943
  4. Step 4: Simplify right side
    32,805x = 4,616,251,249
  5. Step 5: Solve for x
    x = 4,616,251,249/32,805
  6. Step 6: Final answer
    x = 140,717.92

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.