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Finding the Third Proportional to 23,939 and 49,066

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Solution

The third proportional to 23,939 and 49,066 is: 100,566.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,939 : 49,066 = 49,066 : x
  2. Step 2: Convert to fraction form
    23,939/49,066 = 49,066/x
  3. Step 3: Cross multiply
    23,939x = 49,066 × 49,066
  4. Step 4: Simplify right side
    23,939x = 2,407,472,356
  5. Step 5: Solve for x
    x = 2,407,472,356/23,939
  6. Step 6: Final answer
    x = 100,566.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.