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Finding the Third Proportional to 8,742.94 and 13,187.63

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Solution

The third proportional to 8,742.94 and 13,187.63 is: 19,891.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.94 : 13,187.63 = 13,187.63 : x
  2. Step 2: Convert to fraction form
    8,742.94/13,187.63 = 13,187.63/x
  3. Step 3: Cross multiply
    8,742.94x = 13,187.63 × 13,187.63
  4. Step 4: Simplify right side
    8,742.94x = 173,913,453.14
  5. Step 5: Solve for x
    x = 173,913,453.14/8,742.94
  6. Step 6: Final answer
    x = 19,891.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.