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Finding the Third Proportional to 911.06 and 1,377.38

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Solution

The third proportional to 911.06 and 1,377.38 is: 2,082.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.06 : 1,377.38 = 1,377.38 : x
  2. Step 2: Convert to fraction form
    911.06/1,377.38 = 1,377.38/x
  3. Step 3: Cross multiply
    911.06x = 1,377.38 × 1,377.38
  4. Step 4: Simplify right side
    911.06x = 1,897,161.89
  5. Step 5: Solve for x
    x = 1,897,161.89/911.06
  6. Step 6: Final answer
    x = 2,082.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.