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Finding the Third Proportional to 1,900.69 and 2,718.28

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Solution

The third proportional to 1,900.69 and 2,718.28 is: 3,887.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.69 : 2,718.28 = 2,718.28 : x
  2. Step 2: Convert to fraction form
    1,900.69/2,718.28 = 2,718.28/x
  3. Step 3: Cross multiply
    1,900.69x = 2,718.28 × 2,718.28
  4. Step 4: Simplify right side
    1,900.69x = 7,389,052.95
  5. Step 5: Solve for x
    x = 7,389,052.95/1,900.69
  6. Step 6: Final answer
    x = 3,887.57

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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.