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Finding the Third Proportional to 940.01 and 2,036.95

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Solution

The third proportional to 940.01 and 2,036.95 is: 4,413.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.01 : 2,036.95 = 2,036.95 : x
  2. Step 2: Convert to fraction form
    940.01/2,036.95 = 2,036.95/x
  3. Step 3: Cross multiply
    940.01x = 2,036.95 × 2,036.95
  4. Step 4: Simplify right side
    940.01x = 4,149,178.03
  5. Step 5: Solve for x
    x = 4,149,178.03/940.01
  6. Step 6: Final answer
    x = 4,413.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.