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Finding the Third Proportional to 1,990.69 and 2,327.63

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Solution

The third proportional to 1,990.69 and 2,327.63 is: 2,721.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.69 : 2,327.63 = 2,327.63 : x
  2. Step 2: Convert to fraction form
    1,990.69/2,327.63 = 2,327.63/x
  3. Step 3: Cross multiply
    1,990.69x = 2,327.63 × 2,327.63
  4. Step 4: Simplify right side
    1,990.69x = 5,417,838.14
  5. Step 5: Solve for x
    x = 5,417,838.14/1,990.69
  6. Step 6: Final answer
    x = 2,721.59

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.