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Finding the Third Proportional to 40,695.75 and 61,002

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Solution

The third proportional to 40,695.75 and 61,002 is: 91,440.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,695.75 : 61,002 = 61,002 : x
  2. Step 2: Convert to fraction form
    40,695.75/61,002 = 61,002/x
  3. Step 3: Cross multiply
    40,695.75x = 61,002 × 61,002
  4. Step 4: Simplify right side
    40,695.75x = 3,721,244,004
  5. Step 5: Solve for x
    x = 3,721,244,004/40,695.75
  6. Step 6: Final answer
    x = 91,440.61

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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.