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Finding the Third Proportional to 10,286 and 22,130

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Solution

The third proportional to 10,286 and 22,130 is: 47,611.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286 : 22,130 = 22,130 : x
  2. Step 2: Convert to fraction form
    10,286/22,130 = 22,130/x
  3. Step 3: Cross multiply
    10,286x = 22,130 × 22,130
  4. Step 4: Simplify right side
    10,286x = 489,736,900
  5. Step 5: Solve for x
    x = 489,736,900/10,286
  6. Step 6: Final answer
    x = 47,611.99

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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.