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Finding the Third Proportional to 1,114.86 and 2,383.49

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Solution

The third proportional to 1,114.86 and 2,383.49 is: 5,095.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.86 : 2,383.49 = 2,383.49 : x
  2. Step 2: Convert to fraction form
    1,114.86/2,383.49 = 2,383.49/x
  3. Step 3: Cross multiply
    1,114.86x = 2,383.49 × 2,383.49
  4. Step 4: Simplify right side
    1,114.86x = 5,681,016.39
  5. Step 5: Solve for x
    x = 5,681,016.39/1,114.86
  6. Step 6: Final answer
    x = 5,095.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.