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Finding the Third Proportional to 5,212 and 8,035

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Solution

The third proportional to 5,212 and 8,035 is: 12,387.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212 : 8,035 = 8,035 : x
  2. Step 2: Convert to fraction form
    5,212/8,035 = 8,035/x
  3. Step 3: Cross multiply
    5,212x = 8,035 × 8,035
  4. Step 4: Simplify right side
    5,212x = 64,561,225
  5. Step 5: Solve for x
    x = 64,561,225/5,212
  6. Step 6: Final answer
    x = 12,387.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.