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Finding the Third Proportional to 2,441.81 and 3,731.06

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Solution

The third proportional to 2,441.81 and 3,731.06 is: 5,701.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.81 : 3,731.06 = 3,731.06 : x
  2. Step 2: Convert to fraction form
    2,441.81/3,731.06 = 3,731.06/x
  3. Step 3: Cross multiply
    2,441.81x = 3,731.06 × 3,731.06
  4. Step 4: Simplify right side
    2,441.81x = 13,920,827.38
  5. Step 5: Solve for x
    x = 13,920,827.38/2,441.81
  6. Step 6: Final answer
    x = 5,701.02

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.