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Finding the Third Proportional to 2,175.19 and 4,768.03

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Solution

The third proportional to 2,175.19 and 4,768.03 is: 10,451.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.19 : 4,768.03 = 4,768.03 : x
  2. Step 2: Convert to fraction form
    2,175.19/4,768.03 = 4,768.03/x
  3. Step 3: Cross multiply
    2,175.19x = 4,768.03 × 4,768.03
  4. Step 4: Simplify right side
    2,175.19x = 22,734,122.00
  5. Step 5: Solve for x
    x = 22,734,122.00/2,175.19
  6. Step 6: Final answer
    x = 10,451.57

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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.