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Finding the Third Proportional to 1,625.83 and 2,321.82

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Solution

The third proportional to 1,625.83 and 2,321.82 is: 3,315.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.83 : 2,321.82 = 2,321.82 : x
  2. Step 2: Convert to fraction form
    1,625.83/2,321.82 = 2,321.82/x
  3. Step 3: Cross multiply
    1,625.83x = 2,321.82 × 2,321.82
  4. Step 4: Simplify right side
    1,625.83x = 5,390,842.19
  5. Step 5: Solve for x
    x = 5,390,842.19/1,625.83
  6. Step 6: Final answer
    x = 3,315.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.