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Finding the Third Proportional to 2,065.75 and 3,098.63

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Solution

The third proportional to 2,065.75 and 3,098.63 is: 4,647.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.75 : 3,098.63 = 3,098.63 : x
  2. Step 2: Convert to fraction form
    2,065.75/3,098.63 = 3,098.63/x
  3. Step 3: Cross multiply
    2,065.75x = 3,098.63 × 3,098.63
  4. Step 4: Simplify right side
    2,065.75x = 9,601,476.89
  5. Step 5: Solve for x
    x = 9,601,476.89/2,065.75
  6. Step 6: Final answer
    x = 4,647.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.