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Finding the Third Proportional to 1,758 and 4,686

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Solution

The third proportional to 1,758 and 4,686 is: 12,490.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758 : 4,686 = 4,686 : x
  2. Step 2: Convert to fraction form
    1,758/4,686 = 4,686/x
  3. Step 3: Cross multiply
    1,758x = 4,686 × 4,686
  4. Step 4: Simplify right side
    1,758x = 21,958,596
  5. Step 5: Solve for x
    x = 21,958,596/1,758
  6. Step 6: Final answer
    x = 12,490.67

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Why These Related Problems?

These problems maintain the same ratio (2.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.