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Finding the Third Proportional to 926.72 and 2,025.56

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Solution

The third proportional to 926.72 and 2,025.56 is: 4,427.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.72 : 2,025.56 = 2,025.56 : x
  2. Step 2: Convert to fraction form
    926.72/2,025.56 = 2,025.56/x
  3. Step 3: Cross multiply
    926.72x = 2,025.56 × 2,025.56
  4. Step 4: Simplify right side
    926.72x = 4,102,903.44
  5. Step 5: Solve for x
    x = 4,102,903.44/926.72
  6. Step 6: Final answer
    x = 4,427.34

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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.