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Finding the Third Proportional to 3,583.75 and 5,179.75

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Solution

The third proportional to 3,583.75 and 5,179.75 is: 7,486.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.75 : 5,179.75 = 5,179.75 : x
  2. Step 2: Convert to fraction form
    3,583.75/5,179.75 = 5,179.75/x
  3. Step 3: Cross multiply
    3,583.75x = 5,179.75 × 5,179.75
  4. Step 4: Simplify right side
    3,583.75x = 26,829,810.06
  5. Step 5: Solve for x
    x = 26,829,810.06/3,583.75
  6. Step 6: Final answer
    x = 7,486.52

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.