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Finding the Third Proportional to 2,688.19 and 3,618.42

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Solution

The third proportional to 2,688.19 and 3,618.42 is: 4,870.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.19 : 3,618.42 = 3,618.42 : x
  2. Step 2: Convert to fraction form
    2,688.19/3,618.42 = 3,618.42/x
  3. Step 3: Cross multiply
    2,688.19x = 3,618.42 × 3,618.42
  4. Step 4: Simplify right side
    2,688.19x = 13,092,976.87
  5. Step 5: Solve for x
    x = 13,092,976.87/2,688.19
  6. Step 6: Final answer
    x = 4,870.56

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.