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Finding the Third Proportional to 5,590.13 and 13,197.38

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Solution

The third proportional to 5,590.13 and 13,197.38 is: 31,156.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,590.13 : 13,197.38 = 13,197.38 : x
  2. Step 2: Convert to fraction form
    5,590.13/13,197.38 = 13,197.38/x
  3. Step 3: Cross multiply
    5,590.13x = 13,197.38 × 13,197.38
  4. Step 4: Simplify right side
    5,590.13x = 174,170,706.89
  5. Step 5: Solve for x
    x = 174,170,706.89/5,590.13
  6. Step 6: Final answer
    x = 31,156.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.