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Finding the Third Proportional to 40,890.25 and 83,284.25

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Solution

The third proportional to 40,890.25 and 83,284.25 is: 169,631.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,890.25 : 83,284.25 = 83,284.25 : x
  2. Step 2: Convert to fraction form
    40,890.25/83,284.25 = 83,284.25/x
  3. Step 3: Cross multiply
    40,890.25x = 83,284.25 × 83,284.25
  4. Step 4: Simplify right side
    40,890.25x = 6,936,266,298.06
  5. Step 5: Solve for x
    x = 6,936,266,298.06/40,890.25
  6. Step 6: Final answer
    x = 169,631.30

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.