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Finding the Third Proportional to 33,999 and 62,409

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Solution

The third proportional to 33,999 and 62,409 is: 114,558.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,999 : 62,409 = 62,409 : x
  2. Step 2: Convert to fraction form
    33,999/62,409 = 62,409/x
  3. Step 3: Cross multiply
    33,999x = 62,409 × 62,409
  4. Step 4: Simplify right side
    33,999x = 3,894,883,281
  5. Step 5: Solve for x
    x = 3,894,883,281/33,999
  6. Step 6: Final answer
    x = 114,558.76

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.