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Finding the Third Proportional to 2,368.69 and 2,786.06

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Solution

The third proportional to 2,368.69 and 2,786.06 is: 3,276.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.69 : 2,786.06 = 2,786.06 : x
  2. Step 2: Convert to fraction form
    2,368.69/2,786.06 = 2,786.06/x
  3. Step 3: Cross multiply
    2,368.69x = 2,786.06 × 2,786.06
  4. Step 4: Simplify right side
    2,368.69x = 7,762,144.25
  5. Step 5: Solve for x
    x = 7,762,144.25/2,368.69
  6. Step 6: Final answer
    x = 3,276.98

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.