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Finding the Third Proportional to 4,763.25 and 10,977.75

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Solution

The third proportional to 4,763.25 and 10,977.75 is: 25,300.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.25 : 10,977.75 = 10,977.75 : x
  2. Step 2: Convert to fraction form
    4,763.25/10,977.75 = 10,977.75/x
  3. Step 3: Cross multiply
    4,763.25x = 10,977.75 × 10,977.75
  4. Step 4: Simplify right side
    4,763.25x = 120,510,995.06
  5. Step 5: Solve for x
    x = 120,510,995.06/4,763.25
  6. Step 6: Final answer
    x = 25,300.16

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.