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Finding the Third Proportional to 27,534.94 and 41,365.69

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Solution

The third proportional to 27,534.94 and 41,365.69 is: 62,143.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,534.94 : 41,365.69 = 41,365.69 : x
  2. Step 2: Convert to fraction form
    27,534.94/41,365.69 = 41,365.69/x
  3. Step 3: Cross multiply
    27,534.94x = 41,365.69 × 41,365.69
  4. Step 4: Simplify right side
    27,534.94x = 1,711,120,102.35
  5. Step 5: Solve for x
    x = 1,711,120,102.35/27,534.94
  6. Step 6: Final answer
    x = 62,143.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.