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Finding the Third Proportional to 1,388.81 and 2,111.91

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Solution

The third proportional to 1,388.81 and 2,111.91 is: 3,211.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.81 : 2,111.91 = 2,111.91 : x
  2. Step 2: Convert to fraction form
    1,388.81/2,111.91 = 2,111.91/x
  3. Step 3: Cross multiply
    1,388.81x = 2,111.91 × 2,111.91
  4. Step 4: Simplify right side
    1,388.81x = 4,460,148.01
  5. Step 5: Solve for x
    x = 4,460,148.01/1,388.81
  6. Step 6: Final answer
    x = 3,211.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.