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Finding the Third Proportional to 13,866 and 22,530

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Solution

The third proportional to 13,866 and 22,530 is: 36,607.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866 : 22,530 = 22,530 : x
  2. Step 2: Convert to fraction form
    13,866/22,530 = 22,530/x
  3. Step 3: Cross multiply
    13,866x = 22,530 × 22,530
  4. Step 4: Simplify right side
    13,866x = 507,600,900
  5. Step 5: Solve for x
    x = 507,600,900/13,866
  6. Step 6: Final answer
    x = 36,607.59

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.