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Finding the Third Proportional to 2,054.53 and 3,080.95

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Solution

The third proportional to 2,054.53 and 3,080.95 is: 4,620.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.53 : 3,080.95 = 3,080.95 : x
  2. Step 2: Convert to fraction form
    2,054.53/3,080.95 = 3,080.95/x
  3. Step 3: Cross multiply
    2,054.53x = 3,080.95 × 3,080.95
  4. Step 4: Simplify right side
    2,054.53x = 9,492,272.16
  5. Step 5: Solve for x
    x = 9,492,272.16/2,054.53
  6. Step 6: Final answer
    x = 4,620.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.