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Finding the Third Proportional to 2,488.01 and 3,738.45

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Solution

The third proportional to 2,488.01 and 3,738.45 is: 5,617.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.01 : 3,738.45 = 3,738.45 : x
  2. Step 2: Convert to fraction form
    2,488.01/3,738.45 = 3,738.45/x
  3. Step 3: Cross multiply
    2,488.01x = 3,738.45 × 3,738.45
  4. Step 4: Simplify right side
    2,488.01x = 13,975,973.35
  5. Step 5: Solve for x
    x = 13,975,973.35/2,488.01
  6. Step 6: Final answer
    x = 5,617.33

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