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Finding the Third Proportional to 23,417 and 50,998

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Solution

The third proportional to 23,417 and 50,998 is: 111,064.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,417 : 50,998 = 50,998 : x
  2. Step 2: Convert to fraction form
    23,417/50,998 = 50,998/x
  3. Step 3: Cross multiply
    23,417x = 50,998 × 50,998
  4. Step 4: Simplify right side
    23,417x = 2,600,796,004
  5. Step 5: Solve for x
    x = 2,600,796,004/23,417
  6. Step 6: Final answer
    x = 111,064.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.