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Finding the Third Proportional to 32,786 and 49,211

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Solution

The third proportional to 32,786 and 49,211 is: 73,864.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,786 : 49,211 = 49,211 : x
  2. Step 2: Convert to fraction form
    32,786/49,211 = 49,211/x
  3. Step 3: Cross multiply
    32,786x = 49,211 × 49,211
  4. Step 4: Simplify right side
    32,786x = 2,421,722,521
  5. Step 5: Solve for x
    x = 2,421,722,521/32,786
  6. Step 6: Final answer
    x = 73,864.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.