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Finding the Third Proportional to 1,260.98 and 2,643.47

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Solution

The third proportional to 1,260.98 and 2,643.47 is: 5,541.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.98 : 2,643.47 = 2,643.47 : x
  2. Step 2: Convert to fraction form
    1,260.98/2,643.47 = 2,643.47/x
  3. Step 3: Cross multiply
    1,260.98x = 2,643.47 × 2,643.47
  4. Step 4: Simplify right side
    1,260.98x = 6,987,927.03
  5. Step 5: Solve for x
    x = 6,987,927.03/1,260.98
  6. Step 6: Final answer
    x = 5,541.64

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.