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Finding the Third Proportional to 5,703.75 and 8,341.31

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Solution

The third proportional to 5,703.75 and 8,341.31 is: 12,198.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.75 : 8,341.31 = 8,341.31 : x
  2. Step 2: Convert to fraction form
    5,703.75/8,341.31 = 8,341.31/x
  3. Step 3: Cross multiply
    5,703.75x = 8,341.31 × 8,341.31
  4. Step 4: Simplify right side
    5,703.75x = 69,577,494.22
  5. Step 5: Solve for x
    x = 69,577,494.22/5,703.75
  6. Step 6: Final answer
    x = 12,198.55

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.