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Finding the Third Proportional to 2,104.31 and 3,569.06

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Solution

The third proportional to 2,104.31 and 3,569.06 is: 6,053.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.31 : 3,569.06 = 3,569.06 : x
  2. Step 2: Convert to fraction form
    2,104.31/3,569.06 = 3,569.06/x
  3. Step 3: Cross multiply
    2,104.31x = 3,569.06 × 3,569.06
  4. Step 4: Simplify right side
    2,104.31x = 12,738,207.13
  5. Step 5: Solve for x
    x = 12,738,207.13/2,104.31
  6. Step 6: Final answer
    x = 6,053.38

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.