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Finding the Third Proportional to 1,301.53 and 2,081.67

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Solution

The third proportional to 1,301.53 and 2,081.67 is: 3,329.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.53 : 2,081.67 = 2,081.67 : x
  2. Step 2: Convert to fraction form
    1,301.53/2,081.67 = 2,081.67/x
  3. Step 3: Cross multiply
    1,301.53x = 2,081.67 × 2,081.67
  4. Step 4: Simplify right side
    1,301.53x = 4,333,357.80
  5. Step 5: Solve for x
    x = 4,333,357.80/1,301.53
  6. Step 6: Final answer
    x = 3,329.43

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.