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Finding the Third Proportional to 1,164.38 and 2,703.94

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Solution

The third proportional to 1,164.38 and 2,703.94 is: 6,279.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.38 : 2,703.94 = 2,703.94 : x
  2. Step 2: Convert to fraction form
    1,164.38/2,703.94 = 2,703.94/x
  3. Step 3: Cross multiply
    1,164.38x = 2,703.94 × 2,703.94
  4. Step 4: Simplify right side
    1,164.38x = 7,311,278.00
  5. Step 5: Solve for x
    x = 7,311,278.00/1,164.38
  6. Step 6: Final answer
    x = 6,279.14

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.