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Finding the Third Proportional to 14,876 and 22,604

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Solution

The third proportional to 14,876 and 22,604 is: 34,346.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,876 : 22,604 = 22,604 : x
  2. Step 2: Convert to fraction form
    14,876/22,604 = 22,604/x
  3. Step 3: Cross multiply
    14,876x = 22,604 × 22,604
  4. Step 4: Simplify right side
    14,876x = 510,940,816
  5. Step 5: Solve for x
    x = 510,940,816/14,876
  6. Step 6: Final answer
    x = 34,346.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.