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Finding the Third Proportional to 935.93 and 1,738.02

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Solution

The third proportional to 935.93 and 1,738.02 is: 3,227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.93 : 1,738.02 = 1,738.02 : x
  2. Step 2: Convert to fraction form
    935.93/1,738.02 = 1,738.02/x
  3. Step 3: Cross multiply
    935.93x = 1,738.02 × 1,738.02
  4. Step 4: Simplify right side
    935.93x = 3,020,711.89
  5. Step 5: Solve for x
    x = 3,020,711.89/935.93
  6. Step 6: Final answer
    x = 3,227.50

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.