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Finding the Third Proportional to 48,349 and 75,021

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Solution

The third proportional to 48,349 and 75,021 is: 116,406.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,349 : 75,021 = 75,021 : x
  2. Step 2: Convert to fraction form
    48,349/75,021 = 75,021/x
  3. Step 3: Cross multiply
    48,349x = 75,021 × 75,021
  4. Step 4: Simplify right side
    48,349x = 5,628,150,441
  5. Step 5: Solve for x
    x = 5,628,150,441/48,349
  6. Step 6: Final answer
    x = 116,406.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.