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Finding the Third Proportional to 41,066 and 53,924

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Solution

The third proportional to 41,066 and 53,924 is: 70,807.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,066 : 53,924 = 53,924 : x
  2. Step 2: Convert to fraction form
    41,066/53,924 = 53,924/x
  3. Step 3: Cross multiply
    41,066x = 53,924 × 53,924
  4. Step 4: Simplify right side
    41,066x = 2,907,797,776
  5. Step 5: Solve for x
    x = 2,907,797,776/41,066
  6. Step 6: Final answer
    x = 70,807.91

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.