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Finding the Third Proportional to 2,110.13 and 4,625.44

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Solution

The third proportional to 2,110.13 and 4,625.44 is: 10,139.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.13 : 4,625.44 = 4,625.44 : x
  2. Step 2: Convert to fraction form
    2,110.13/4,625.44 = 4,625.44/x
  3. Step 3: Cross multiply
    2,110.13x = 4,625.44 × 4,625.44
  4. Step 4: Simplify right side
    2,110.13x = 21,394,672.07
  5. Step 5: Solve for x
    x = 21,394,672.07/2,110.13
  6. Step 6: Final answer
    x = 10,139.05

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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.