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Finding the Third Proportional to 1,378.69 and 2,973.38

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Solution

The third proportional to 1,378.69 and 2,973.38 is: 6,412.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.69 : 2,973.38 = 2,973.38 : x
  2. Step 2: Convert to fraction form
    1,378.69/2,973.38 = 2,973.38/x
  3. Step 3: Cross multiply
    1,378.69x = 2,973.38 × 2,973.38
  4. Step 4: Simplify right side
    1,378.69x = 8,840,958.89
  5. Step 5: Solve for x
    x = 8,840,958.89/1,378.69
  6. Step 6: Final answer
    x = 6,412.59

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.