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Finding the Third Proportional to 5,072.63 and 10,951.88

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Solution

The third proportional to 5,072.63 and 10,951.88 is: 23,645.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.63 : 10,951.88 = 10,951.88 : x
  2. Step 2: Convert to fraction form
    5,072.63/10,951.88 = 10,951.88/x
  3. Step 3: Cross multiply
    5,072.63x = 10,951.88 × 10,951.88
  4. Step 4: Simplify right side
    5,072.63x = 119,943,566.02
  5. Step 5: Solve for x
    x = 119,943,566.02/5,072.63
  6. Step 6: Final answer
    x = 23,645.27

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