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Finding the Third Proportional to 2,214.42 and 3,456.42

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Solution

The third proportional to 2,214.42 and 3,456.42 is: 5,395.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.42 : 3,456.42 = 3,456.42 : x
  2. Step 2: Convert to fraction form
    2,214.42/3,456.42 = 3,456.42/x
  3. Step 3: Cross multiply
    2,214.42x = 3,456.42 × 3,456.42
  4. Step 4: Simplify right side
    2,214.42x = 11,946,852.18
  5. Step 5: Solve for x
    x = 11,946,852.18/2,214.42
  6. Step 6: Final answer
    x = 5,395.02

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.