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Finding the Third Proportional to 7,799.63 and 16,986.38

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Solution

The third proportional to 7,799.63 and 16,986.38 is: 36,993.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,799.63 : 16,986.38 = 16,986.38 : x
  2. Step 2: Convert to fraction form
    7,799.63/16,986.38 = 16,986.38/x
  3. Step 3: Cross multiply
    7,799.63x = 16,986.38 × 16,986.38
  4. Step 4: Simplify right side
    7,799.63x = 288,536,935.64
  5. Step 5: Solve for x
    x = 288,536,935.64/7,799.63
  6. Step 6: Final answer
    x = 36,993.69

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.