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Finding the Third Proportional to 1,388.92 and 3,051.42

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Solution

The third proportional to 1,388.92 and 3,051.42 is: 6,703.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.92 : 3,051.42 = 3,051.42 : x
  2. Step 2: Convert to fraction form
    1,388.92/3,051.42 = 3,051.42/x
  3. Step 3: Cross multiply
    1,388.92x = 3,051.42 × 3,051.42
  4. Step 4: Simplify right side
    1,388.92x = 9,311,175.46
  5. Step 5: Solve for x
    x = 9,311,175.46/1,388.92
  6. Step 6: Final answer
    x = 6,703.91

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.