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Finding the Third Proportional to 5,698.16 and 8,625.87

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Solution

The third proportional to 5,698.16 and 8,625.87 is: 13,057.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.16 : 8,625.87 = 8,625.87 : x
  2. Step 2: Convert to fraction form
    5,698.16/8,625.87 = 8,625.87/x
  3. Step 3: Cross multiply
    5,698.16x = 8,625.87 × 8,625.87
  4. Step 4: Simplify right side
    5,698.16x = 74,405,584.74
  5. Step 5: Solve for x
    x = 74,405,584.74/5,698.16
  6. Step 6: Final answer
    x = 13,057.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.