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Finding the Third Proportional to 964.83 and 2,046.09

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Solution

The third proportional to 964.83 and 2,046.09 is: 4,339.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.83 : 2,046.09 = 2,046.09 : x
  2. Step 2: Convert to fraction form
    964.83/2,046.09 = 2,046.09/x
  3. Step 3: Cross multiply
    964.83x = 2,046.09 × 2,046.09
  4. Step 4: Simplify right side
    964.83x = 4,186,499.63
  5. Step 5: Solve for x
    x = 4,186,499.63/964.83
  6. Step 6: Final answer
    x = 4,339.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.