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Finding the Third Proportional to 2,445.50 and 3,679.49

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Solution

The third proportional to 2,445.50 and 3,679.49 is: 5,536.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.50 : 3,679.49 = 3,679.49 : x
  2. Step 2: Convert to fraction form
    2,445.50/3,679.49 = 3,679.49/x
  3. Step 3: Cross multiply
    2,445.50x = 3,679.49 × 3,679.49
  4. Step 4: Simplify right side
    2,445.50x = 13,538,634.01
  5. Step 5: Solve for x
    x = 13,538,634.01/2,445.50
  6. Step 6: Final answer
    x = 5,536.13

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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.