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Finding the Third Proportional to 14,778 and 17,511.75

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Solution

The third proportional to 14,778 and 17,511.75 is: 20,751.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,778 : 17,511.75 = 17,511.75 : x
  2. Step 2: Convert to fraction form
    14,778/17,511.75 = 17,511.75/x
  3. Step 3: Cross multiply
    14,778x = 17,511.75 × 17,511.75
  4. Step 4: Simplify right side
    14,778x = 306,661,388.06
  5. Step 5: Solve for x
    x = 306,661,388.06/14,778
  6. Step 6: Final answer
    x = 20,751.21

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.