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Finding the Third Proportional to 3,676.09 and 8,054.12

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Solution

The third proportional to 3,676.09 and 8,054.12 is: 17,646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.09 : 8,054.12 = 8,054.12 : x
  2. Step 2: Convert to fraction form
    3,676.09/8,054.12 = 8,054.12/x
  3. Step 3: Cross multiply
    3,676.09x = 8,054.12 × 8,054.12
  4. Step 4: Simplify right side
    3,676.09x = 64,868,866.59
  5. Step 5: Solve for x
    x = 64,868,866.59/3,676.09
  6. Step 6: Final answer
    x = 17,646.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.