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Finding the Third Proportional to 2,670.19 and 3,921.38

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Solution

The third proportional to 2,670.19 and 3,921.38 is: 5,758.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.19 : 3,921.38 = 3,921.38 : x
  2. Step 2: Convert to fraction form
    2,670.19/3,921.38 = 3,921.38/x
  3. Step 3: Cross multiply
    2,670.19x = 3,921.38 × 3,921.38
  4. Step 4: Simplify right side
    2,670.19x = 15,377,181.89
  5. Step 5: Solve for x
    x = 15,377,181.89/2,670.19
  6. Step 6: Final answer
    x = 5,758.84

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.