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Finding the Third Proportional to 5,767.03 and 8,613.42

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Solution

The third proportional to 5,767.03 and 8,613.42 is: 12,864.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.03 : 8,613.42 = 8,613.42 : x
  2. Step 2: Convert to fraction form
    5,767.03/8,613.42 = 8,613.42/x
  3. Step 3: Cross multiply
    5,767.03x = 8,613.42 × 8,613.42
  4. Step 4: Simplify right side
    5,767.03x = 74,191,036.40
  5. Step 5: Solve for x
    x = 74,191,036.40/5,767.03
  6. Step 6: Final answer
    x = 12,864.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.