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Finding the Third Proportional to 2,085.75 and 5,678.44

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Solution

The third proportional to 2,085.75 and 5,678.44 is: 15,459.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.75 : 5,678.44 = 5,678.44 : x
  2. Step 2: Convert to fraction form
    2,085.75/5,678.44 = 5,678.44/x
  3. Step 3: Cross multiply
    2,085.75x = 5,678.44 × 5,678.44
  4. Step 4: Simplify right side
    2,085.75x = 32,244,652.44
  5. Step 5: Solve for x
    x = 32,244,652.44/2,085.75
  6. Step 6: Final answer
    x = 15,459.50

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.