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Finding the Third Proportional to 14,296 and 22,806

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Solution

The third proportional to 14,296 and 22,806 is: 36,381.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,296 : 22,806 = 22,806 : x
  2. Step 2: Convert to fraction form
    14,296/22,806 = 22,806/x
  3. Step 3: Cross multiply
    14,296x = 22,806 × 22,806
  4. Step 4: Simplify right side
    14,296x = 520,113,636
  5. Step 5: Solve for x
    x = 520,113,636/14,296
  6. Step 6: Final answer
    x = 36,381.76

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.