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Finding the Third Proportional to 922.92 and 2,005.31

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Solution

The third proportional to 922.92 and 2,005.31 is: 4,357.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.92 : 2,005.31 = 2,005.31 : x
  2. Step 2: Convert to fraction form
    922.92/2,005.31 = 2,005.31/x
  3. Step 3: Cross multiply
    922.92x = 2,005.31 × 2,005.31
  4. Step 4: Simplify right side
    922.92x = 4,021,278.22
  5. Step 5: Solve for x
    x = 4,021,278.22/922.92
  6. Step 6: Final answer
    x = 4,357.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.