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Finding the Third Proportional to 2,218 and 4,080.50

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Solution

The third proportional to 2,218 and 4,080.50 is: 7,506.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218 : 4,080.50 = 4,080.50 : x
  2. Step 2: Convert to fraction form
    2,218/4,080.50 = 4,080.50/x
  3. Step 3: Cross multiply
    2,218x = 4,080.50 × 4,080.50
  4. Step 4: Simplify right side
    2,218x = 16,650,480.25
  5. Step 5: Solve for x
    x = 16,650,480.25/2,218
  6. Step 6: Final answer
    x = 7,506.98

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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.