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Finding the Third Proportional to 4,665.94 and 9,782.44

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Solution

The third proportional to 4,665.94 and 9,782.44 is: 20,509.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.94 : 9,782.44 = 9,782.44 : x
  2. Step 2: Convert to fraction form
    4,665.94/9,782.44 = 9,782.44/x
  3. Step 3: Cross multiply
    4,665.94x = 9,782.44 × 9,782.44
  4. Step 4: Simplify right side
    4,665.94x = 95,696,083.44
  5. Step 5: Solve for x
    x = 95,696,083.44/4,665.94
  6. Step 6: Final answer
    x = 20,509.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.