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Finding the Third Proportional to 2,569.41 and 5,341.31

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Solution

The third proportional to 2,569.41 and 5,341.31 is: 11,103.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.41 : 5,341.31 = 5,341.31 : x
  2. Step 2: Convert to fraction form
    2,569.41/5,341.31 = 5,341.31/x
  3. Step 3: Cross multiply
    2,569.41x = 5,341.31 × 5,341.31
  4. Step 4: Simplify right side
    2,569.41x = 28,529,619.22
  5. Step 5: Solve for x
    x = 28,529,619.22/2,569.41
  6. Step 6: Final answer
    x = 11,103.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.