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Finding the Third Proportional to 5,637.09 and 6,201.56

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Solution

The third proportional to 5,637.09 and 6,201.56 is: 6,822.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,637.09 : 6,201.56 = 6,201.56 : x
  2. Step 2: Convert to fraction form
    5,637.09/6,201.56 = 6,201.56/x
  3. Step 3: Cross multiply
    5,637.09x = 6,201.56 × 6,201.56
  4. Step 4: Simplify right side
    5,637.09x = 38,459,377.44
  5. Step 5: Solve for x
    x = 38,459,377.44/5,637.09
  6. Step 6: Final answer
    x = 6,822.55

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.