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Finding the Third Proportional to 61,322.25 and 82,409.25

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Solution

The third proportional to 61,322.25 and 82,409.25 is: 110,747.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,322.25 : 82,409.25 = 82,409.25 : x
  2. Step 2: Convert to fraction form
    61,322.25/82,409.25 = 82,409.25/x
  3. Step 3: Cross multiply
    61,322.25x = 82,409.25 × 82,409.25
  4. Step 4: Simplify right side
    61,322.25x = 6,791,284,485.56
  5. Step 5: Solve for x
    x = 6,791,284,485.56/61,322.25
  6. Step 6: Final answer
    x = 110,747.48

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.