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Finding the Third Proportional to 27,284.50 and 41,028.25

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Solution

The third proportional to 27,284.50 and 41,028.25 is: 61,695.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,284.50 : 41,028.25 = 41,028.25 : x
  2. Step 2: Convert to fraction form
    27,284.50/41,028.25 = 41,028.25/x
  3. Step 3: Cross multiply
    27,284.50x = 41,028.25 × 41,028.25
  4. Step 4: Simplify right side
    27,284.50x = 1,683,317,298.06
  5. Step 5: Solve for x
    x = 1,683,317,298.06/27,284.50
  6. Step 6: Final answer
    x = 61,695.00

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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.