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Finding the Third Proportional to 1,014.38 and 1,665.94

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Solution

The third proportional to 1,014.38 and 1,665.94 is: 2,736.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.38 : 1,665.94 = 1,665.94 : x
  2. Step 2: Convert to fraction form
    1,014.38/1,665.94 = 1,665.94/x
  3. Step 3: Cross multiply
    1,014.38x = 1,665.94 × 1,665.94
  4. Step 4: Simplify right side
    1,014.38x = 2,775,347.75
  5. Step 5: Solve for x
    x = 2,775,347.75/1,014.38
  6. Step 6: Final answer
    x = 2,736.02

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.