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Finding the Third Proportional to 1,643.39 and 2,482.27

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Solution

The third proportional to 1,643.39 and 2,482.27 is: 3,749.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.39 : 2,482.27 = 2,482.27 : x
  2. Step 2: Convert to fraction form
    1,643.39/2,482.27 = 2,482.27/x
  3. Step 3: Cross multiply
    1,643.39x = 2,482.27 × 2,482.27
  4. Step 4: Simplify right side
    1,643.39x = 6,161,642.63
  5. Step 5: Solve for x
    x = 6,161,642.63/1,643.39
  6. Step 6: Final answer
    x = 3,749.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.