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Finding the Third Proportional to 3,645.94 and 5,656.31

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Solution

The third proportional to 3,645.94 and 5,656.31 is: 8,775.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.94 : 5,656.31 = 5,656.31 : x
  2. Step 2: Convert to fraction form
    3,645.94/5,656.31 = 5,656.31/x
  3. Step 3: Cross multiply
    3,645.94x = 5,656.31 × 5,656.31
  4. Step 4: Simplify right side
    3,645.94x = 31,993,871.10
  5. Step 5: Solve for x
    x = 31,993,871.10/3,645.94
  6. Step 6: Final answer
    x = 8,775.21

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.