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Finding the Third Proportional to 4,399.13 and 6,590.63

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Solution

The third proportional to 4,399.13 and 6,590.63 is: 9,873.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,399.13 : 6,590.63 = 6,590.63 : x
  2. Step 2: Convert to fraction form
    4,399.13/6,590.63 = 6,590.63/x
  3. Step 3: Cross multiply
    4,399.13x = 6,590.63 × 6,590.63
  4. Step 4: Simplify right side
    4,399.13x = 43,436,337.89
  5. Step 5: Solve for x
    x = 43,436,337.89/4,399.13
  6. Step 6: Final answer
    x = 9,873.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.