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Finding the Third Proportional to 5,270 and 8,015

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Solution

The third proportional to 5,270 and 8,015 is: 12,189.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270 : 8,015 = 8,015 : x
  2. Step 2: Convert to fraction form
    5,270/8,015 = 8,015/x
  3. Step 3: Cross multiply
    5,270x = 8,015 × 8,015
  4. Step 4: Simplify right side
    5,270x = 64,240,225
  5. Step 5: Solve for x
    x = 64,240,225/5,270
  6. Step 6: Final answer
    x = 12,189.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.