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Finding the Third Proportional to 1,658.76 and 3,394.41

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Solution

The third proportional to 1,658.76 and 3,394.41 is: 6,946.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.76 : 3,394.41 = 3,394.41 : x
  2. Step 2: Convert to fraction form
    1,658.76/3,394.41 = 3,394.41/x
  3. Step 3: Cross multiply
    1,658.76x = 3,394.41 × 3,394.41
  4. Step 4: Simplify right side
    1,658.76x = 11,521,993.79
  5. Step 5: Solve for x
    x = 11,521,993.79/1,658.76
  6. Step 6: Final answer
    x = 6,946.15

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.