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Finding the Third Proportional to 7,586.16 and 16,556.27

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Solution

The third proportional to 7,586.16 and 16,556.27 is: 36,132.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.16 : 16,556.27 = 16,556.27 : x
  2. Step 2: Convert to fraction form
    7,586.16/16,556.27 = 16,556.27/x
  3. Step 3: Cross multiply
    7,586.16x = 16,556.27 × 16,556.27
  4. Step 4: Simplify right side
    7,586.16x = 274,110,190.14
  5. Step 5: Solve for x
    x = 274,110,190.14/7,586.16
  6. Step 6: Final answer
    x = 36,132.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.