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Finding the Third Proportional to 2,111.06 and 2,775.52

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Solution

The third proportional to 2,111.06 and 2,775.52 is: 3,649.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.06 : 2,775.52 = 2,775.52 : x
  2. Step 2: Convert to fraction form
    2,111.06/2,775.52 = 2,775.52/x
  3. Step 3: Cross multiply
    2,111.06x = 2,775.52 × 2,775.52
  4. Step 4: Simplify right side
    2,111.06x = 7,703,486.98
  5. Step 5: Solve for x
    x = 7,703,486.98/2,111.06
  6. Step 6: Final answer
    x = 3,649.10

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.