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Finding the Third Proportional to 2,185.73 and 4,716.98

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Solution

The third proportional to 2,185.73 and 4,716.98 is: 10,179.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.73 : 4,716.98 = 4,716.98 : x
  2. Step 2: Convert to fraction form
    2,185.73/4,716.98 = 4,716.98/x
  3. Step 3: Cross multiply
    2,185.73x = 4,716.98 × 4,716.98
  4. Step 4: Simplify right side
    2,185.73x = 22,249,941.59
  5. Step 5: Solve for x
    x = 22,249,941.59/2,185.73
  6. Step 6: Final answer
    x = 10,179.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.