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Finding the Third Proportional to 1,903.78 and 2,327.34

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Solution

The third proportional to 1,903.78 and 2,327.34 is: 2,845.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.78 : 2,327.34 = 2,327.34 : x
  2. Step 2: Convert to fraction form
    1,903.78/2,327.34 = 2,327.34/x
  3. Step 3: Cross multiply
    1,903.78x = 2,327.34 × 2,327.34
  4. Step 4: Simplify right side
    1,903.78x = 5,416,528.93
  5. Step 5: Solve for x
    x = 5,416,528.93/1,903.78
  6. Step 6: Final answer
    x = 2,845.14

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.