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Finding the Third Proportional to 929.25 and 1,393.97

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Solution

The third proportional to 929.25 and 1,393.97 is: 2,091.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.25 : 1,393.97 = 1,393.97 : x
  2. Step 2: Convert to fraction form
    929.25/1,393.97 = 1,393.97/x
  3. Step 3: Cross multiply
    929.25x = 1,393.97 × 1,393.97
  4. Step 4: Simplify right side
    929.25x = 1,943,148.88
  5. Step 5: Solve for x
    x = 1,943,148.88/929.25
  6. Step 6: Final answer
    x = 2,091.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.