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Finding the Third Proportional to 5,894.25 and 8,613.38

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Solution

The third proportional to 5,894.25 and 8,613.38 is: 12,586.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.25 : 8,613.38 = 8,613.38 : x
  2. Step 2: Convert to fraction form
    5,894.25/8,613.38 = 8,613.38/x
  3. Step 3: Cross multiply
    5,894.25x = 8,613.38 × 8,613.38
  4. Step 4: Simplify right side
    5,894.25x = 74,190,228.89
  5. Step 5: Solve for x
    x = 74,190,228.89/5,894.25
  6. Step 6: Final answer
    x = 12,586.88

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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.