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Finding the Third Proportional to 2,064.87 and 4,396.57

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Solution

The third proportional to 2,064.87 and 4,396.57 is: 9,361.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.87 : 4,396.57 = 4,396.57 : x
  2. Step 2: Convert to fraction form
    2,064.87/4,396.57 = 4,396.57/x
  3. Step 3: Cross multiply
    2,064.87x = 4,396.57 × 4,396.57
  4. Step 4: Simplify right side
    2,064.87x = 19,329,830.51
  5. Step 5: Solve for x
    x = 19,329,830.51/2,064.87
  6. Step 6: Final answer
    x = 9,361.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.