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Finding the Third Proportional to 6,909.38 and 10,808.63

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Solution

The third proportional to 6,909.38 and 10,808.63 is: 16,908.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.38 : 10,808.63 = 10,808.63 : x
  2. Step 2: Convert to fraction form
    6,909.38/10,808.63 = 10,808.63/x
  3. Step 3: Cross multiply
    6,909.38x = 10,808.63 × 10,808.63
  4. Step 4: Simplify right side
    6,909.38x = 116,826,374.39
  5. Step 5: Solve for x
    x = 116,826,374.39/6,909.38
  6. Step 6: Final answer
    x = 16,908.39

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.