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Finding the Third Proportional to 36,361 and 53,345

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Solution

The third proportional to 36,361 and 53,345 is: 78,262.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,361 : 53,345 = 53,345 : x
  2. Step 2: Convert to fraction form
    36,361/53,345 = 53,345/x
  3. Step 3: Cross multiply
    36,361x = 53,345 × 53,345
  4. Step 4: Simplify right side
    36,361x = 2,845,689,025
  5. Step 5: Solve for x
    x = 2,845,689,025/36,361
  6. Step 6: Final answer
    x = 78,262.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.