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Finding the Third Proportional to 5,890.22 and 9,140.34

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Solution

The third proportional to 5,890.22 and 9,140.34 is: 14,183.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.22 : 9,140.34 = 9,140.34 : x
  2. Step 2: Convert to fraction form
    5,890.22/9,140.34 = 9,140.34/x
  3. Step 3: Cross multiply
    5,890.22x = 9,140.34 × 9,140.34
  4. Step 4: Simplify right side
    5,890.22x = 83,545,883.87
  5. Step 5: Solve for x
    x = 83,545,883.87/5,890.22
  6. Step 6: Final answer
    x = 14,183.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.