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Finding the Third Proportional to 36,342 and 55,062

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Solution

The third proportional to 36,342 and 55,062 is: 83,424.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,342 : 55,062 = 55,062 : x
  2. Step 2: Convert to fraction form
    36,342/55,062 = 55,062/x
  3. Step 3: Cross multiply
    36,342x = 55,062 × 55,062
  4. Step 4: Simplify right side
    36,342x = 3,031,823,844
  5. Step 5: Solve for x
    x = 3,031,823,844/36,342
  6. Step 6: Final answer
    x = 83,424.79

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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.