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Finding the Third Proportional to 10,476 and 18,214

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Solution

The third proportional to 10,476 and 18,214 is: 31,667.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476 : 18,214 = 18,214 : x
  2. Step 2: Convert to fraction form
    10,476/18,214 = 18,214/x
  3. Step 3: Cross multiply
    10,476x = 18,214 × 18,214
  4. Step 4: Simplify right side
    10,476x = 331,749,796
  5. Step 5: Solve for x
    x = 331,749,796/10,476
  6. Step 6: Final answer
    x = 31,667.60

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.