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Finding the Third Proportional to 49,613 and 70,729

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Solution

The third proportional to 49,613 and 70,729 is: 100,832.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,613 : 70,729 = 70,729 : x
  2. Step 2: Convert to fraction form
    49,613/70,729 = 70,729/x
  3. Step 3: Cross multiply
    49,613x = 70,729 × 70,729
  4. Step 4: Simplify right side
    49,613x = 5,002,591,441
  5. Step 5: Solve for x
    x = 5,002,591,441/49,613
  6. Step 6: Final answer
    x = 100,832.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.