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Finding the Third Proportional to 49,874 and 73,335

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Solution

The third proportional to 49,874 and 73,335 is: 107,832.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,874 : 73,335 = 73,335 : x
  2. Step 2: Convert to fraction form
    49,874/73,335 = 73,335/x
  3. Step 3: Cross multiply
    49,874x = 73,335 × 73,335
  4. Step 4: Simplify right side
    49,874x = 5,378,022,225
  5. Step 5: Solve for x
    x = 5,378,022,225/49,874
  6. Step 6: Final answer
    x = 107,832.18

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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.