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Finding the Third Proportional to 893.81 and 1,335.66

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Solution

The third proportional to 893.81 and 1,335.66 is: 1,995.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.81 : 1,335.66 = 1,335.66 : x
  2. Step 2: Convert to fraction form
    893.81/1,335.66 = 1,335.66/x
  3. Step 3: Cross multiply
    893.81x = 1,335.66 × 1,335.66
  4. Step 4: Simplify right side
    893.81x = 1,783,977.62
  5. Step 5: Solve for x
    x = 1,783,977.62/893.81
  6. Step 6: Final answer
    x = 1,995.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.