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Finding the Third Proportional to 35,084.25 and 66,935.25

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Solution

The third proportional to 35,084.25 and 66,935.25 is: 127,701.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,084.25 : 66,935.25 = 66,935.25 : x
  2. Step 2: Convert to fraction form
    35,084.25/66,935.25 = 66,935.25/x
  3. Step 3: Cross multiply
    35,084.25x = 66,935.25 × 66,935.25
  4. Step 4: Simplify right side
    35,084.25x = 4,480,327,692.56
  5. Step 5: Solve for x
    x = 4,480,327,692.56/35,084.25
  6. Step 6: Final answer
    x = 127,701.97

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These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.