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Finding the Third Proportional to 1,917.75 and 4,108.88

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Solution

The third proportional to 1,917.75 and 4,108.88 is: 8,803.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.75 : 4,108.88 = 4,108.88 : x
  2. Step 2: Convert to fraction form
    1,917.75/4,108.88 = 4,108.88/x
  3. Step 3: Cross multiply
    1,917.75x = 4,108.88 × 4,108.88
  4. Step 4: Simplify right side
    1,917.75x = 16,882,853.77
  5. Step 5: Solve for x
    x = 16,882,853.77/1,917.75
  6. Step 6: Final answer
    x = 8,803.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.