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Finding the Third Proportional to 5,971 and 9,285

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Solution

The third proportional to 5,971 and 9,285 is: 14,438.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971 : 9,285 = 9,285 : x
  2. Step 2: Convert to fraction form
    5,971/9,285 = 9,285/x
  3. Step 3: Cross multiply
    5,971x = 9,285 × 9,285
  4. Step 4: Simplify right side
    5,971x = 86,211,225
  5. Step 5: Solve for x
    x = 86,211,225/5,971
  6. Step 6: Final answer
    x = 14,438.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.