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Finding the Third Proportional to 1,690 and 4,066

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Solution

The third proportional to 1,690 and 4,066 is: 9,782.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690 : 4,066 = 4,066 : x
  2. Step 2: Convert to fraction form
    1,690/4,066 = 4,066/x
  3. Step 3: Cross multiply
    1,690x = 4,066 × 4,066
  4. Step 4: Simplify right side
    1,690x = 16,532,356
  5. Step 5: Solve for x
    x = 16,532,356/1,690
  6. Step 6: Final answer
    x = 9,782.46

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.