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Finding the Third Proportional to 5,741.81 and 8,612.81

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Solution

The third proportional to 5,741.81 and 8,612.81 is: 12,919.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.81 : 8,612.81 = 8,612.81 : x
  2. Step 2: Convert to fraction form
    5,741.81/8,612.81 = 8,612.81/x
  3. Step 3: Cross multiply
    5,741.81x = 8,612.81 × 8,612.81
  4. Step 4: Simplify right side
    5,741.81x = 74,180,539.16
  5. Step 5: Solve for x
    x = 74,180,539.16/5,741.81
  6. Step 6: Final answer
    x = 12,919.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.