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Finding the Third Proportional to 1,664 and 3,008

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Solution

The third proportional to 1,664 and 3,008 is: 5,437.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664 : 3,008 = 3,008 : x
  2. Step 2: Convert to fraction form
    1,664/3,008 = 3,008/x
  3. Step 3: Cross multiply
    1,664x = 3,008 × 3,008
  4. Step 4: Simplify right side
    1,664x = 9,048,064
  5. Step 5: Solve for x
    x = 9,048,064/1,664
  6. Step 6: Final answer
    x = 5,437.54

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.