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Finding the Third Proportional to 36,722 and 49,347

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Solution

The third proportional to 36,722 and 49,347 is: 66,312.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,722 : 49,347 = 49,347 : x
  2. Step 2: Convert to fraction form
    36,722/49,347 = 49,347/x
  3. Step 3: Cross multiply
    36,722x = 49,347 × 49,347
  4. Step 4: Simplify right side
    36,722x = 2,435,126,409
  5. Step 5: Solve for x
    x = 2,435,126,409/36,722
  6. Step 6: Final answer
    x = 66,312.47

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.