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Finding the Third Proportional to 3,085.63 and 6,786.50

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Solution

The third proportional to 3,085.63 and 6,786.50 is: 14,926.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.63 : 6,786.50 = 6,786.50 : x
  2. Step 2: Convert to fraction form
    3,085.63/6,786.50 = 6,786.50/x
  3. Step 3: Cross multiply
    3,085.63x = 6,786.50 × 6,786.50
  4. Step 4: Simplify right side
    3,085.63x = 46,056,582.25
  5. Step 5: Solve for x
    x = 46,056,582.25/3,085.63
  6. Step 6: Final answer
    x = 14,926.18

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.