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Finding the Third Proportional to 3,736.83 and 7,929.28

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Solution

The third proportional to 3,736.83 and 7,929.28 is: 16,825.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.83 : 7,929.28 = 7,929.28 : x
  2. Step 2: Convert to fraction form
    3,736.83/7,929.28 = 7,929.28/x
  3. Step 3: Cross multiply
    3,736.83x = 7,929.28 × 7,929.28
  4. Step 4: Simplify right side
    3,736.83x = 62,873,501.14
  5. Step 5: Solve for x
    x = 62,873,501.14/3,736.83
  6. Step 6: Final answer
    x = 16,825.37

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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.