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Finding the Third Proportional to 5,638.36 and 12,199.36

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Solution

The third proportional to 5,638.36 and 12,199.36 is: 26,394.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.36 : 12,199.36 = 12,199.36 : x
  2. Step 2: Convert to fraction form
    5,638.36/12,199.36 = 12,199.36/x
  3. Step 3: Cross multiply
    5,638.36x = 12,199.36 × 12,199.36
  4. Step 4: Simplify right side
    5,638.36x = 148,824,369.16
  5. Step 5: Solve for x
    x = 148,824,369.16/5,638.36
  6. Step 6: Final answer
    x = 26,394.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.