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Finding the Third Proportional to 32,336 and 49,836

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Solution

The third proportional to 32,336 and 49,836 is: 76,806.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,336 : 49,836 = 49,836 : x
  2. Step 2: Convert to fraction form
    32,336/49,836 = 49,836/x
  3. Step 3: Cross multiply
    32,336x = 49,836 × 49,836
  4. Step 4: Simplify right side
    32,336x = 2,483,626,896
  5. Step 5: Solve for x
    x = 2,483,626,896/32,336
  6. Step 6: Final answer
    x = 76,806.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.