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Finding the Third Proportional to 880.31 and 1,917.56

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Solution

The third proportional to 880.31 and 1,917.56 is: 4,176.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.31 : 1,917.56 = 1,917.56 : x
  2. Step 2: Convert to fraction form
    880.31/1,917.56 = 1,917.56/x
  3. Step 3: Cross multiply
    880.31x = 1,917.56 × 1,917.56
  4. Step 4: Simplify right side
    880.31x = 3,677,045.94
  5. Step 5: Solve for x
    x = 3,677,045.94/880.31
  6. Step 6: Final answer
    x = 4,176.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.