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Finding the Third Proportional to 2,185.93 and 3,295.45

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Solution

The third proportional to 2,185.93 and 3,295.45 is: 4,968.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.93 : 3,295.45 = 3,295.45 : x
  2. Step 2: Convert to fraction form
    2,185.93/3,295.45 = 3,295.45/x
  3. Step 3: Cross multiply
    2,185.93x = 3,295.45 × 3,295.45
  4. Step 4: Simplify right side
    2,185.93x = 10,859,991.99
  5. Step 5: Solve for x
    x = 10,859,991.99/2,185.93
  6. Step 6: Final answer
    x = 4,968.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.