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Finding the Third Proportional to 32,940 and 77,727

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Solution

The third proportional to 32,940 and 77,727 is: 183,408.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,940 : 77,727 = 77,727 : x
  2. Step 2: Convert to fraction form
    32,940/77,727 = 77,727/x
  3. Step 3: Cross multiply
    32,940x = 77,727 × 77,727
  4. Step 4: Simplify right side
    32,940x = 6,041,486,529
  5. Step 5: Solve for x
    x = 6,041,486,529/32,940
  6. Step 6: Final answer
    x = 183,408.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.