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Finding the Third Proportional to 10,614 and 22,390

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Solution

The third proportional to 10,614 and 22,390 is: 47,231.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614 : 22,390 = 22,390 : x
  2. Step 2: Convert to fraction form
    10,614/22,390 = 22,390/x
  3. Step 3: Cross multiply
    10,614x = 22,390 × 22,390
  4. Step 4: Simplify right side
    10,614x = 501,312,100
  5. Step 5: Solve for x
    x = 501,312,100/10,614
  6. Step 6: Final answer
    x = 47,231.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.