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Finding the Third Proportional to 2,835.94 and 4,154.81

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Solution

The third proportional to 2,835.94 and 4,154.81 is: 6,087.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.94 : 4,154.81 = 4,154.81 : x
  2. Step 2: Convert to fraction form
    2,835.94/4,154.81 = 4,154.81/x
  3. Step 3: Cross multiply
    2,835.94x = 4,154.81 × 4,154.81
  4. Step 4: Simplify right side
    2,835.94x = 17,262,466.91
  5. Step 5: Solve for x
    x = 17,262,466.91/2,835.94
  6. Step 6: Final answer
    x = 6,087.04

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.