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Finding the Third Proportional to 2,081.64 and 3,015.67

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Solution

The third proportional to 2,081.64 and 3,015.67 is: 4,368.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.64 : 3,015.67 = 3,015.67 : x
  2. Step 2: Convert to fraction form
    2,081.64/3,015.67 = 3,015.67/x
  3. Step 3: Cross multiply
    2,081.64x = 3,015.67 × 3,015.67
  4. Step 4: Simplify right side
    2,081.64x = 9,094,253.30
  5. Step 5: Solve for x
    x = 9,094,253.30/2,081.64
  6. Step 6: Final answer
    x = 4,368.80

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.