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Finding the Third Proportional to 4,946.06 and 10,672.38

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Solution

The third proportional to 4,946.06 and 10,672.38 is: 23,028.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.06 : 10,672.38 = 10,672.38 : x
  2. Step 2: Convert to fraction form
    4,946.06/10,672.38 = 10,672.38/x
  3. Step 3: Cross multiply
    4,946.06x = 10,672.38 × 10,672.38
  4. Step 4: Simplify right side
    4,946.06x = 113,899,754.90
  5. Step 5: Solve for x
    x = 113,899,754.90/4,946.06
  6. Step 6: Final answer
    x = 23,028.37

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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.