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Finding the Third Proportional to 1,110.19 and 2,563.31

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Solution

The third proportional to 1,110.19 and 2,563.31 is: 5,918.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.19 : 2,563.31 = 2,563.31 : x
  2. Step 2: Convert to fraction form
    1,110.19/2,563.31 = 2,563.31/x
  3. Step 3: Cross multiply
    1,110.19x = 2,563.31 × 2,563.31
  4. Step 4: Simplify right side
    1,110.19x = 6,570,570.97
  5. Step 5: Solve for x
    x = 6,570,570.97/1,110.19
  6. Step 6: Final answer
    x = 5,918.43

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.