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Finding the Third Proportional to 36,614 and 49,729

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Solution

The third proportional to 36,614 and 49,729 is: 67,541.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,614 : 49,729 = 49,729 : x
  2. Step 2: Convert to fraction form
    36,614/49,729 = 49,729/x
  3. Step 3: Cross multiply
    36,614x = 49,729 × 49,729
  4. Step 4: Simplify right side
    36,614x = 2,472,973,441
  5. Step 5: Solve for x
    x = 2,472,973,441/36,614
  6. Step 6: Final answer
    x = 67,541.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.