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Finding the Third Proportional to 3,284.63 and 3,564.75

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Solution

The third proportional to 3,284.63 and 3,564.75 is: 3,868.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.63 : 3,564.75 = 3,564.75 : x
  2. Step 2: Convert to fraction form
    3,284.63/3,564.75 = 3,564.75/x
  3. Step 3: Cross multiply
    3,284.63x = 3,564.75 × 3,564.75
  4. Step 4: Simplify right side
    3,284.63x = 12,707,442.56
  5. Step 5: Solve for x
    x = 12,707,442.56/3,284.63
  6. Step 6: Final answer
    x = 3,868.77

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.