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Finding the Third Proportional to 5,749.88 and 8,516.25

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Solution

The third proportional to 5,749.88 and 8,516.25 is: 12,613.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749.88 : 8,516.25 = 8,516.25 : x
  2. Step 2: Convert to fraction form
    5,749.88/8,516.25 = 8,516.25/x
  3. Step 3: Cross multiply
    5,749.88x = 8,516.25 × 8,516.25
  4. Step 4: Simplify right side
    5,749.88x = 72,526,514.06
  5. Step 5: Solve for x
    x = 72,526,514.06/5,749.88
  6. Step 6: Final answer
    x = 12,613.58

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.