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Finding the Third Proportional to 1,879.45 and 4,117.71

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Solution

The third proportional to 1,879.45 and 4,117.71 is: 9,021.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.45 : 4,117.71 = 4,117.71 : x
  2. Step 2: Convert to fraction form
    1,879.45/4,117.71 = 4,117.71/x
  3. Step 3: Cross multiply
    1,879.45x = 4,117.71 × 4,117.71
  4. Step 4: Simplify right side
    1,879.45x = 16,955,543.36
  5. Step 5: Solve for x
    x = 16,955,543.36/1,879.45
  6. Step 6: Final answer
    x = 9,021.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.