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Finding the Third Proportional to 13,066.25 and 28,733.75

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Solution

The third proportional to 13,066.25 and 28,733.75 is: 63,187.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,066.25 : 28,733.75 = 28,733.75 : x
  2. Step 2: Convert to fraction form
    13,066.25/28,733.75 = 28,733.75/x
  3. Step 3: Cross multiply
    13,066.25x = 28,733.75 × 28,733.75
  4. Step 4: Simplify right side
    13,066.25x = 825,628,389.06
  5. Step 5: Solve for x
    x = 825,628,389.06/13,066.25
  6. Step 6: Final answer
    x = 63,187.86

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.