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Finding the Third Proportional to 4,239.84 and 5,637.09

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Solution

The third proportional to 4,239.84 and 5,637.09 is: 7,494.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,239.84 : 5,637.09 = 5,637.09 : x
  2. Step 2: Convert to fraction form
    4,239.84/5,637.09 = 5,637.09/x
  3. Step 3: Cross multiply
    4,239.84x = 5,637.09 × 5,637.09
  4. Step 4: Simplify right side
    4,239.84x = 31,776,825.95
  5. Step 5: Solve for x
    x = 31,776,825.95/4,239.84
  6. Step 6: Final answer
    x = 7,494.81

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.