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Finding the Third Proportional to 6,353.44 and 13,154.91

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Solution

The third proportional to 6,353.44 and 13,154.91 is: 27,237.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,353.44 : 13,154.91 = 13,154.91 : x
  2. Step 2: Convert to fraction form
    6,353.44/13,154.91 = 13,154.91/x
  3. Step 3: Cross multiply
    6,353.44x = 13,154.91 × 13,154.91
  4. Step 4: Simplify right side
    6,353.44x = 173,051,558.45
  5. Step 5: Solve for x
    x = 173,051,558.45/6,353.44
  6. Step 6: Final answer
    x = 27,237.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.