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Finding the Third Proportional to 32,247 and 49,829

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Solution

The third proportional to 32,247 and 49,829 is: 76,997.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,247 : 49,829 = 49,829 : x
  2. Step 2: Convert to fraction form
    32,247/49,829 = 49,829/x
  3. Step 3: Cross multiply
    32,247x = 49,829 × 49,829
  4. Step 4: Simplify right side
    32,247x = 2,482,929,241
  5. Step 5: Solve for x
    x = 2,482,929,241/32,247
  6. Step 6: Final answer
    x = 76,997.22

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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.