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Finding the Third Proportional to 890.44 and 2,085.47

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Solution

The third proportional to 890.44 and 2,085.47 is: 4,884.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.44 : 2,085.47 = 2,085.47 : x
  2. Step 2: Convert to fraction form
    890.44/2,085.47 = 2,085.47/x
  3. Step 3: Cross multiply
    890.44x = 2,085.47 × 2,085.47
  4. Step 4: Simplify right side
    890.44x = 4,349,179.91
  5. Step 5: Solve for x
    x = 4,349,179.91/890.44
  6. Step 6: Final answer
    x = 4,884.32

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.