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Finding the Third Proportional to 1,603.69 and 2,473.31

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Solution

The third proportional to 1,603.69 and 2,473.31 is: 3,814.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.69 : 2,473.31 = 2,473.31 : x
  2. Step 2: Convert to fraction form
    1,603.69/2,473.31 = 2,473.31/x
  3. Step 3: Cross multiply
    1,603.69x = 2,473.31 × 2,473.31
  4. Step 4: Simplify right side
    1,603.69x = 6,117,274.72
  5. Step 5: Solve for x
    x = 6,117,274.72/1,603.69
  6. Step 6: Final answer
    x = 3,814.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.