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Finding the Third Proportional to 1,775.67 and 3,858.47

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Solution

The third proportional to 1,775.67 and 3,858.47 is: 8,384.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.67 : 3,858.47 = 3,858.47 : x
  2. Step 2: Convert to fraction form
    1,775.67/3,858.47 = 3,858.47/x
  3. Step 3: Cross multiply
    1,775.67x = 3,858.47 × 3,858.47
  4. Step 4: Simplify right side
    1,775.67x = 14,887,781.09
  5. Step 5: Solve for x
    x = 14,887,781.09/1,775.67
  6. Step 6: Final answer
    x = 8,384.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.