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Finding the Third Proportional to 1,254.39 and 1,914.34

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Solution

The third proportional to 1,254.39 and 1,914.34 is: 2,921.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.39 : 1,914.34 = 1,914.34 : x
  2. Step 2: Convert to fraction form
    1,254.39/1,914.34 = 1,914.34/x
  3. Step 3: Cross multiply
    1,254.39x = 1,914.34 × 1,914.34
  4. Step 4: Simplify right side
    1,254.39x = 3,664,685.82
  5. Step 5: Solve for x
    x = 3,664,685.82/1,254.39
  6. Step 6: Final answer
    x = 2,921.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.