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Finding the Third Proportional to 36,479 and 55,097

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Solution

The third proportional to 36,479 and 55,097 is: 83,217.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,479 : 55,097 = 55,097 : x
  2. Step 2: Convert to fraction form
    36,479/55,097 = 55,097/x
  3. Step 3: Cross multiply
    36,479x = 55,097 × 55,097
  4. Step 4: Simplify right side
    36,479x = 3,035,679,409
  5. Step 5: Solve for x
    x = 3,035,679,409/36,479
  6. Step 6: Final answer
    x = 83,217.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.