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Finding the Third Proportional to 3,703.50 and 8,516.25

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Solution

The third proportional to 3,703.50 and 8,516.25 is: 19,583.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.50 : 8,516.25 = 8,516.25 : x
  2. Step 2: Convert to fraction form
    3,703.50/8,516.25 = 8,516.25/x
  3. Step 3: Cross multiply
    3,703.50x = 8,516.25 × 8,516.25
  4. Step 4: Simplify right side
    3,703.50x = 72,526,514.06
  5. Step 5: Solve for x
    x = 72,526,514.06/3,703.50
  6. Step 6: Final answer
    x = 19,583.24

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.