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Finding the Third Proportional to 2,959.73 and 4,932.23

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Solution

The third proportional to 2,959.73 and 4,932.23 is: 8,219.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.73 : 4,932.23 = 4,932.23 : x
  2. Step 2: Convert to fraction form
    2,959.73/4,932.23 = 4,932.23/x
  3. Step 3: Cross multiply
    2,959.73x = 4,932.23 × 4,932.23
  4. Step 4: Simplify right side
    2,959.73x = 24,326,935.93
  5. Step 5: Solve for x
    x = 24,326,935.93/2,959.73
  6. Step 6: Final answer
    x = 8,219.30

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.