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Finding the Third Proportional to 40,960.69 and 65,129.06

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Solution

The third proportional to 40,960.69 and 65,129.06 is: 103,557.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,960.69 : 65,129.06 = 65,129.06 : x
  2. Step 2: Convert to fraction form
    40,960.69/65,129.06 = 65,129.06/x
  3. Step 3: Cross multiply
    40,960.69x = 65,129.06 × 65,129.06
  4. Step 4: Simplify right side
    40,960.69x = 4,241,794,782.13
  5. Step 5: Solve for x
    x = 4,241,794,782.13/40,960.69
  6. Step 6: Final answer
    x = 103,557.70

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.