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Finding the Third Proportional to 854.81 and 1,885.13

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Solution

The third proportional to 854.81 and 1,885.13 is: 4,157.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.81 : 1,885.13 = 1,885.13 : x
  2. Step 2: Convert to fraction form
    854.81/1,885.13 = 1,885.13/x
  3. Step 3: Cross multiply
    854.81x = 1,885.13 × 1,885.13
  4. Step 4: Simplify right side
    854.81x = 3,553,696.27
  5. Step 5: Solve for x
    x = 3,553,696.27/854.81
  6. Step 6: Final answer
    x = 4,157.28

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.