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Finding the Third Proportional to 36,292 and 54,986

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Solution

The third proportional to 36,292 and 54,986 is: 83,309.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,292 : 54,986 = 54,986 : x
  2. Step 2: Convert to fraction form
    36,292/54,986 = 54,986/x
  3. Step 3: Cross multiply
    36,292x = 54,986 × 54,986
  4. Step 4: Simplify right side
    36,292x = 3,023,460,196
  5. Step 5: Solve for x
    x = 3,023,460,196/36,292
  6. Step 6: Final answer
    x = 83,309.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.