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Finding the Third Proportional to 1,005.19 and 1,599.19

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Solution

The third proportional to 1,005.19 and 1,599.19 is: 2,544.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.19 : 1,599.19 = 1,599.19 : x
  2. Step 2: Convert to fraction form
    1,005.19/1,599.19 = 1,599.19/x
  3. Step 3: Cross multiply
    1,005.19x = 1,599.19 × 1,599.19
  4. Step 4: Simplify right side
    1,005.19x = 2,557,400.66
  5. Step 5: Solve for x
    x = 2,557,400.66/1,005.19
  6. Step 6: Final answer
    x = 2,544.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.