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Finding the Third Proportional to 1,511.44 and 2,110.22

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Solution

The third proportional to 1,511.44 and 2,110.22 is: 2,946.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.44 : 2,110.22 = 2,110.22 : x
  2. Step 2: Convert to fraction form
    1,511.44/2,110.22 = 2,110.22/x
  3. Step 3: Cross multiply
    1,511.44x = 2,110.22 × 2,110.22
  4. Step 4: Simplify right side
    1,511.44x = 4,453,023.17
  5. Step 5: Solve for x
    x = 4,453,023.17/1,511.44
  6. Step 6: Final answer
    x = 2,946.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.