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Finding the Third Proportional to 36,216 and 55,965

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Solution

The third proportional to 36,216 and 55,965 is: 86,483.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,216 : 55,965 = 55,965 : x
  2. Step 2: Convert to fraction form
    36,216/55,965 = 55,965/x
  3. Step 3: Cross multiply
    36,216x = 55,965 × 55,965
  4. Step 4: Simplify right side
    36,216x = 3,132,081,225
  5. Step 5: Solve for x
    x = 3,132,081,225/36,216
  6. Step 6: Final answer
    x = 86,483.36

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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.