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Finding the Third Proportional to 8,478 and 18,210

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Solution

The third proportional to 8,478 and 18,210 is: 39,113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478 : 18,210 = 18,210 : x
  2. Step 2: Convert to fraction form
    8,478/18,210 = 18,210/x
  3. Step 3: Cross multiply
    8,478x = 18,210 × 18,210
  4. Step 4: Simplify right side
    8,478x = 331,604,100
  5. Step 5: Solve for x
    x = 331,604,100/8,478
  6. Step 6: Final answer
    x = 39,113.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.