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Finding the Third Proportional to 7,427 and 16,285

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Solution

The third proportional to 7,427 and 16,285 is: 35,707.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427 : 16,285 = 16,285 : x
  2. Step 2: Convert to fraction form
    7,427/16,285 = 16,285/x
  3. Step 3: Cross multiply
    7,427x = 16,285 × 16,285
  4. Step 4: Simplify right side
    7,427x = 265,201,225
  5. Step 5: Solve for x
    x = 265,201,225/7,427
  6. Step 6: Final answer
    x = 35,707.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.