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Finding the Third Proportional to 3,935 and 4,758.50

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Solution

The third proportional to 3,935 and 4,758.50 is: 5,754.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935 : 4,758.50 = 4,758.50 : x
  2. Step 2: Convert to fraction form
    3,935/4,758.50 = 4,758.50/x
  3. Step 3: Cross multiply
    3,935x = 4,758.50 × 4,758.50
  4. Step 4: Simplify right side
    3,935x = 22,643,322.25
  5. Step 5: Solve for x
    x = 22,643,322.25/3,935
  6. Step 6: Final answer
    x = 5,754.34

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.