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Finding the Third Proportional to 1,301.34 and 2,069.72

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Solution

The third proportional to 1,301.34 and 2,069.72 is: 3,291.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.34 : 2,069.72 = 2,069.72 : x
  2. Step 2: Convert to fraction form
    1,301.34/2,069.72 = 2,069.72/x
  3. Step 3: Cross multiply
    1,301.34x = 2,069.72 × 2,069.72
  4. Step 4: Simplify right side
    1,301.34x = 4,283,735.70
  5. Step 5: Solve for x
    x = 4,283,735.70/1,301.34
  6. Step 6: Final answer
    x = 3,291.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.