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Finding the Third Proportional to 5,213.06 and 7,637.25

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Solution

The third proportional to 5,213.06 and 7,637.25 is: 11,188.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.06 : 7,637.25 = 7,637.25 : x
  2. Step 2: Convert to fraction form
    5,213.06/7,637.25 = 7,637.25/x
  3. Step 3: Cross multiply
    5,213.06x = 7,637.25 × 7,637.25
  4. Step 4: Simplify right side
    5,213.06x = 58,327,587.56
  5. Step 5: Solve for x
    x = 58,327,587.56/5,213.06
  6. Step 6: Final answer
    x = 11,188.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.