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Finding the Third Proportional to 1,858.78 and 2,805.47

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Solution

The third proportional to 1,858.78 and 2,805.47 is: 4,234.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.78 : 2,805.47 = 2,805.47 : x
  2. Step 2: Convert to fraction form
    1,858.78/2,805.47 = 2,805.47/x
  3. Step 3: Cross multiply
    1,858.78x = 2,805.47 × 2,805.47
  4. Step 4: Simplify right side
    1,858.78x = 7,870,654.91
  5. Step 5: Solve for x
    x = 7,870,654.91/1,858.78
  6. Step 6: Final answer
    x = 4,234.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.