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Finding the Third Proportional to 2,486.63 and 3,365.44

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Solution

The third proportional to 2,486.63 and 3,365.44 is: 4,554.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.63 : 3,365.44 = 3,365.44 : x
  2. Step 2: Convert to fraction form
    2,486.63/3,365.44 = 3,365.44/x
  3. Step 3: Cross multiply
    2,486.63x = 3,365.44 × 3,365.44
  4. Step 4: Simplify right side
    2,486.63x = 11,326,169.57
  5. Step 5: Solve for x
    x = 11,326,169.57/2,486.63
  6. Step 6: Final answer
    x = 4,554.84

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.