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Finding the Third Proportional to 1,885.36 and 4,142.81

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Solution

The third proportional to 1,885.36 and 4,142.81 is: 9,103.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.36 : 4,142.81 = 4,142.81 : x
  2. Step 2: Convert to fraction form
    1,885.36/4,142.81 = 4,142.81/x
  3. Step 3: Cross multiply
    1,885.36x = 4,142.81 × 4,142.81
  4. Step 4: Simplify right side
    1,885.36x = 17,162,895.41
  5. Step 5: Solve for x
    x = 17,162,895.41/1,885.36
  6. Step 6: Final answer
    x = 9,103.25

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.