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Finding the Third Proportional to 4,110.75 and 8,417.25

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Solution

The third proportional to 4,110.75 and 8,417.25 is: 17,235.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,110.75 : 8,417.25 = 8,417.25 : x
  2. Step 2: Convert to fraction form
    4,110.75/8,417.25 = 8,417.25/x
  3. Step 3: Cross multiply
    4,110.75x = 8,417.25 × 8,417.25
  4. Step 4: Simplify right side
    4,110.75x = 70,850,097.56
  5. Step 5: Solve for x
    x = 70,850,097.56/4,110.75
  6. Step 6: Final answer
    x = 17,235.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.