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Finding the Third Proportional to 14,262 and 22,914

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Solution

The third proportional to 14,262 and 22,914 is: 36,814.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,262 : 22,914 = 22,914 : x
  2. Step 2: Convert to fraction form
    14,262/22,914 = 22,914/x
  3. Step 3: Cross multiply
    14,262x = 22,914 × 22,914
  4. Step 4: Simplify right side
    14,262x = 525,051,396
  5. Step 5: Solve for x
    x = 525,051,396/14,262
  6. Step 6: Final answer
    x = 36,814.71

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.