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Finding the Third Proportional to 892.63 and 1,922.28

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Solution

The third proportional to 892.63 and 1,922.28 is: 4,139.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.63 : 1,922.28 = 1,922.28 : x
  2. Step 2: Convert to fraction form
    892.63/1,922.28 = 1,922.28/x
  3. Step 3: Cross multiply
    892.63x = 1,922.28 × 1,922.28
  4. Step 4: Simplify right side
    892.63x = 3,695,165.20
  5. Step 5: Solve for x
    x = 3,695,165.20/892.63
  6. Step 6: Final answer
    x = 4,139.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.