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Finding the Third Proportional to 6,222.02 and 13,537.55

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Solution

The third proportional to 6,222.02 and 13,537.55 is: 29,454.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,222.02 : 13,537.55 = 13,537.55 : x
  2. Step 2: Convert to fraction form
    6,222.02/13,537.55 = 13,537.55/x
  3. Step 3: Cross multiply
    6,222.02x = 13,537.55 × 13,537.55
  4. Step 4: Simplify right side
    6,222.02x = 183,265,175.39
  5. Step 5: Solve for x
    x = 183,265,175.39/6,222.02
  6. Step 6: Final answer
    x = 29,454.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.