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Finding the Third Proportional to 8,968.22 and 13,964.91

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Solution

The third proportional to 8,968.22 and 13,964.91 is: 21,745.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,968.22 : 13,964.91 = 13,964.91 : x
  2. Step 2: Convert to fraction form
    8,968.22/13,964.91 = 13,964.91/x
  3. Step 3: Cross multiply
    8,968.22x = 13,964.91 × 13,964.91
  4. Step 4: Simplify right side
    8,968.22x = 195,018,606.57
  5. Step 5: Solve for x
    x = 195,018,606.57/8,968.22
  6. Step 6: Final answer
    x = 21,745.52

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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.