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Finding the Third Proportional to 32,226 and 49,806

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Solution

The third proportional to 32,226 and 49,806 is: 76,976.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,226 : 49,806 = 49,806 : x
  2. Step 2: Convert to fraction form
    32,226/49,806 = 49,806/x
  3. Step 3: Cross multiply
    32,226x = 49,806 × 49,806
  4. Step 4: Simplify right side
    32,226x = 2,480,637,636
  5. Step 5: Solve for x
    x = 2,480,637,636/32,226
  6. Step 6: Final answer
    x = 76,976.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.