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Finding the Third Proportional to 2,441.81 and 3,170.81

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Solution

The third proportional to 2,441.81 and 3,170.81 is: 4,117.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.81 : 3,170.81 = 3,170.81 : x
  2. Step 2: Convert to fraction form
    2,441.81/3,170.81 = 3,170.81/x
  3. Step 3: Cross multiply
    2,441.81x = 3,170.81 × 3,170.81
  4. Step 4: Simplify right side
    2,441.81x = 10,054,051.91
  5. Step 5: Solve for x
    x = 10,054,051.91/2,441.81
  6. Step 6: Final answer
    x = 4,117.45

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.