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Finding the Third Proportional to 2,114.44 and 4,633.88

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Solution

The third proportional to 2,114.44 and 4,633.88 is: 10,155.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.44 : 4,633.88 = 4,633.88 : x
  2. Step 2: Convert to fraction form
    2,114.44/4,633.88 = 4,633.88/x
  3. Step 3: Cross multiply
    2,114.44x = 4,633.88 × 4,633.88
  4. Step 4: Simplify right side
    2,114.44x = 21,472,797.52
  5. Step 5: Solve for x
    x = 21,472,797.52/2,114.44
  6. Step 6: Final answer
    x = 10,155.32

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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.