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Finding the Third Proportional to 4,554.75 and 10,002.75

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Solution

The third proportional to 4,554.75 and 10,002.75 is: 21,967.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,554.75 : 10,002.75 = 10,002.75 : x
  2. Step 2: Convert to fraction form
    4,554.75/10,002.75 = 10,002.75/x
  3. Step 3: Cross multiply
    4,554.75x = 10,002.75 × 10,002.75
  4. Step 4: Simplify right side
    4,554.75x = 100,055,007.56
  5. Step 5: Solve for x
    x = 100,055,007.56/4,554.75
  6. Step 6: Final answer
    x = 21,967.18

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.