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Finding the Third Proportional to 1,069 and 1,901.75

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Solution

The third proportional to 1,069 and 1,901.75 is: 3,383.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069 : 1,901.75 = 1,901.75 : x
  2. Step 2: Convert to fraction form
    1,069/1,901.75 = 1,901.75/x
  3. Step 3: Cross multiply
    1,069x = 1,901.75 × 1,901.75
  4. Step 4: Simplify right side
    1,069x = 3,616,653.06
  5. Step 5: Solve for x
    x = 3,616,653.06/1,069
  6. Step 6: Final answer
    x = 3,383.21

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.