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Finding the Third Proportional to 881.82 and 1,877.08

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Solution

The third proportional to 881.82 and 1,877.08 is: 3,995.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.82 : 1,877.08 = 1,877.08 : x
  2. Step 2: Convert to fraction form
    881.82/1,877.08 = 1,877.08/x
  3. Step 3: Cross multiply
    881.82x = 1,877.08 × 1,877.08
  4. Step 4: Simplify right side
    881.82x = 3,523,429.62
  5. Step 5: Solve for x
    x = 3,523,429.62/881.82
  6. Step 6: Final answer
    x = 3,995.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.