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Finding the Third Proportional to 14,776.75 and 22,179.75

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Solution

The third proportional to 14,776.75 and 22,179.75 is: 33,291.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,776.75 : 22,179.75 = 22,179.75 : x
  2. Step 2: Convert to fraction form
    14,776.75/22,179.75 = 22,179.75/x
  3. Step 3: Cross multiply
    14,776.75x = 22,179.75 × 22,179.75
  4. Step 4: Simplify right side
    14,776.75x = 491,941,310.06
  5. Step 5: Solve for x
    x = 491,941,310.06/14,776.75
  6. Step 6: Final answer
    x = 33,291.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.