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Finding the Third Proportional to 3,564.75 and 5,235.75

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Solution

The third proportional to 3,564.75 and 5,235.75 is: 7,690.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.75 : 5,235.75 = 5,235.75 : x
  2. Step 2: Convert to fraction form
    3,564.75/5,235.75 = 5,235.75/x
  3. Step 3: Cross multiply
    3,564.75x = 5,235.75 × 5,235.75
  4. Step 4: Simplify right side
    3,564.75x = 27,413,078.06
  5. Step 5: Solve for x
    x = 27,413,078.06/3,564.75
  6. Step 6: Final answer
    x = 7,690.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.