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Finding the Third Proportional to 4,212 and 7,593.75

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Solution

The third proportional to 4,212 and 7,593.75 is: 13,690.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212 : 7,593.75 = 7,593.75 : x
  2. Step 2: Convert to fraction form
    4,212/7,593.75 = 7,593.75/x
  3. Step 3: Cross multiply
    4,212x = 7,593.75 × 7,593.75
  4. Step 4: Simplify right side
    4,212x = 57,665,039.06
  5. Step 5: Solve for x
    x = 57,665,039.06/4,212
  6. Step 6: Final answer
    x = 13,690.66

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.