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Finding the Third Proportional to 5,890.22 and 9,108.84

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Solution

The third proportional to 5,890.22 and 9,108.84 is: 14,086.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.22 : 9,108.84 = 9,108.84 : x
  2. Step 2: Convert to fraction form
    5,890.22/9,108.84 = 9,108.84/x
  3. Step 3: Cross multiply
    5,890.22x = 9,108.84 × 9,108.84
  4. Step 4: Simplify right side
    5,890.22x = 82,971,034.46
  5. Step 5: Solve for x
    x = 82,971,034.46/5,890.22
  6. Step 6: Final answer
    x = 14,086.24

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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.