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Finding the Third Proportional to 936.79 and 2,017.74

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Solution

The third proportional to 936.79 and 2,017.74 is: 4,346.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.79 : 2,017.74 = 2,017.74 : x
  2. Step 2: Convert to fraction form
    936.79/2,017.74 = 2,017.74/x
  3. Step 3: Cross multiply
    936.79x = 2,017.74 × 2,017.74
  4. Step 4: Simplify right side
    936.79x = 4,071,284.52
  5. Step 5: Solve for x
    x = 4,071,284.52/936.79
  6. Step 6: Final answer
    x = 4,346.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.