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Finding the Third Proportional to 49,980 and 75,483

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Solution

The third proportional to 49,980 and 75,483 is: 113,999.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,980 : 75,483 = 75,483 : x
  2. Step 2: Convert to fraction form
    49,980/75,483 = 75,483/x
  3. Step 3: Cross multiply
    49,980x = 75,483 × 75,483
  4. Step 4: Simplify right side
    49,980x = 5,697,683,289
  5. Step 5: Solve for x
    x = 5,697,683,289/49,980
  6. Step 6: Final answer
    x = 113,999.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.