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Finding the Third Proportional to 36,397 and 51,558

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Solution

The third proportional to 36,397 and 51,558 is: 73,034.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,397 : 51,558 = 51,558 : x
  2. Step 2: Convert to fraction form
    36,397/51,558 = 51,558/x
  3. Step 3: Cross multiply
    36,397x = 51,558 × 51,558
  4. Step 4: Simplify right side
    36,397x = 2,658,227,364
  5. Step 5: Solve for x
    x = 2,658,227,364/36,397
  6. Step 6: Final answer
    x = 73,034.24

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.