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Finding the Third Proportional to 892.74 and 1,956.34

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Solution

The third proportional to 892.74 and 1,956.34 is: 4,287.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.74 : 1,956.34 = 1,956.34 : x
  2. Step 2: Convert to fraction form
    892.74/1,956.34 = 1,956.34/x
  3. Step 3: Cross multiply
    892.74x = 1,956.34 × 1,956.34
  4. Step 4: Simplify right side
    892.74x = 3,827,265.58
  5. Step 5: Solve for x
    x = 3,827,265.58/892.74
  6. Step 6: Final answer
    x = 4,287.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.