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Finding the Third Proportional to 1,878.19 and 3,079.27

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Solution

The third proportional to 1,878.19 and 3,079.27 is: 5,048.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.19 : 3,079.27 = 3,079.27 : x
  2. Step 2: Convert to fraction form
    1,878.19/3,079.27 = 3,079.27/x
  3. Step 3: Cross multiply
    1,878.19x = 3,079.27 × 3,079.27
  4. Step 4: Simplify right side
    1,878.19x = 9,481,876.79
  5. Step 5: Solve for x
    x = 9,481,876.79/1,878.19
  6. Step 6: Final answer
    x = 5,048.42

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.