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Finding the Third Proportional to 1,569.38 and 3,410.44

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Solution

The third proportional to 1,569.38 and 3,410.44 is: 7,411.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.38 : 3,410.44 = 3,410.44 : x
  2. Step 2: Convert to fraction form
    1,569.38/3,410.44 = 3,410.44/x
  3. Step 3: Cross multiply
    1,569.38x = 3,410.44 × 3,410.44
  4. Step 4: Simplify right side
    1,569.38x = 11,631,083.94
  5. Step 5: Solve for x
    x = 11,631,083.94/1,569.38
  6. Step 6: Final answer
    x = 7,411.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.