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Finding the Third Proportional to 36,384 and 55,120

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Solution

The third proportional to 36,384 and 55,120 is: 83,504.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,384 : 55,120 = 55,120 : x
  2. Step 2: Convert to fraction form
    36,384/55,120 = 55,120/x
  3. Step 3: Cross multiply
    36,384x = 55,120 × 55,120
  4. Step 4: Simplify right side
    36,384x = 3,038,214,400
  5. Step 5: Solve for x
    x = 3,038,214,400/36,384
  6. Step 6: Final answer
    x = 83,504.13

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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.