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Finding the Third Proportional to 7,860.38 and 16,945.31

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Solution

The third proportional to 7,860.38 and 16,945.31 is: 36,530.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.38 : 16,945.31 = 16,945.31 : x
  2. Step 2: Convert to fraction form
    7,860.38/16,945.31 = 16,945.31/x
  3. Step 3: Cross multiply
    7,860.38x = 16,945.31 × 16,945.31
  4. Step 4: Simplify right side
    7,860.38x = 287,143,615.72
  5. Step 5: Solve for x
    x = 287,143,615.72/7,860.38
  6. Step 6: Final answer
    x = 36,530.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.