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Finding the Third Proportional to 6,135.75 and 8,358.19

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Solution

The third proportional to 6,135.75 and 8,358.19 is: 11,385.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,135.75 : 8,358.19 = 8,358.19 : x
  2. Step 2: Convert to fraction form
    6,135.75/8,358.19 = 8,358.19/x
  3. Step 3: Cross multiply
    6,135.75x = 8,358.19 × 8,358.19
  4. Step 4: Simplify right side
    6,135.75x = 69,859,298.29
  5. Step 5: Solve for x
    x = 69,859,298.29/6,135.75
  6. Step 6: Final answer
    x = 11,385.62

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.