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Finding the Third Proportional to 3,303.70 and 4,697.37

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Solution

The third proportional to 3,303.70 and 4,697.37 is: 6,678.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,303.70 : 4,697.37 = 4,697.37 : x
  2. Step 2: Convert to fraction form
    3,303.70/4,697.37 = 4,697.37/x
  3. Step 3: Cross multiply
    3,303.70x = 4,697.37 × 4,697.37
  4. Step 4: Simplify right side
    3,303.70x = 22,065,258.49
  5. Step 5: Solve for x
    x = 22,065,258.49/3,303.70
  6. Step 6: Final answer
    x = 6,678.95

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.