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Finding the Third Proportional to 4,763 and 10,448.25

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Solution

The third proportional to 4,763 and 10,448.25 is: 22,919.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763 : 10,448.25 = 10,448.25 : x
  2. Step 2: Convert to fraction form
    4,763/10,448.25 = 10,448.25/x
  3. Step 3: Cross multiply
    4,763x = 10,448.25 × 10,448.25
  4. Step 4: Simplify right side
    4,763x = 109,165,928.06
  5. Step 5: Solve for x
    x = 109,165,928.06/4,763
  6. Step 6: Final answer
    x = 22,919.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.