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Finding the Third Proportional to 967.78 and 1,477.83

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Solution

The third proportional to 967.78 and 1,477.83 is: 2,256.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.78 : 1,477.83 = 1,477.83 : x
  2. Step 2: Convert to fraction form
    967.78/1,477.83 = 1,477.83/x
  3. Step 3: Cross multiply
    967.78x = 1,477.83 × 1,477.83
  4. Step 4: Simplify right side
    967.78x = 2,183,975.97
  5. Step 5: Solve for x
    x = 2,183,975.97/967.78
  6. Step 6: Final answer
    x = 2,256.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.