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Finding the Third Proportional to 1,100.14 and 1,563.84

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Solution

The third proportional to 1,100.14 and 1,563.84 is: 2,222.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.14 : 1,563.84 = 1,563.84 : x
  2. Step 2: Convert to fraction form
    1,100.14/1,563.84 = 1,563.84/x
  3. Step 3: Cross multiply
    1,100.14x = 1,563.84 × 1,563.84
  4. Step 4: Simplify right side
    1,100.14x = 2,445,588.95
  5. Step 5: Solve for x
    x = 2,445,588.95/1,100.14
  6. Step 6: Final answer
    x = 2,222.97

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.