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Finding the Third Proportional to 5,072.88 and 10,900.25

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Solution

The third proportional to 5,072.88 and 10,900.25 is: 23,421.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.88 : 10,900.25 = 10,900.25 : x
  2. Step 2: Convert to fraction form
    5,072.88/10,900.25 = 10,900.25/x
  3. Step 3: Cross multiply
    5,072.88x = 10,900.25 × 10,900.25
  4. Step 4: Simplify right side
    5,072.88x = 118,815,450.06
  5. Step 5: Solve for x
    x = 118,815,450.06/5,072.88
  6. Step 6: Final answer
    x = 23,421.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.