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Finding the Third Proportional to 5,735.81 and 8,396.16

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Solution

The third proportional to 5,735.81 and 8,396.16 is: 12,290.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.81 : 8,396.16 = 8,396.16 : x
  2. Step 2: Convert to fraction form
    5,735.81/8,396.16 = 8,396.16/x
  3. Step 3: Cross multiply
    5,735.81x = 8,396.16 × 8,396.16
  4. Step 4: Simplify right side
    5,735.81x = 70,495,439.77
  5. Step 5: Solve for x
    x = 70,495,439.77/5,735.81
  6. Step 6: Final answer
    x = 12,290.40

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Why These Related Problems?

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