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Finding the Third Proportional to 1,273.32 and 2,684.92

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Solution

The third proportional to 1,273.32 and 2,684.92 is: 5,661.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.32 : 2,684.92 = 2,684.92 : x
  2. Step 2: Convert to fraction form
    1,273.32/2,684.92 = 2,684.92/x
  3. Step 3: Cross multiply
    1,273.32x = 2,684.92 × 2,684.92
  4. Step 4: Simplify right side
    1,273.32x = 7,208,784.50
  5. Step 5: Solve for x
    x = 7,208,784.50/1,273.32
  6. Step 6: Final answer
    x = 5,661.39

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.