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Finding the Third Proportional to 20,833.45 and 46,170.47

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Solution

The third proportional to 20,833.45 and 46,170.47 is: 102,321.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,833.45 : 46,170.47 = 46,170.47 : x
  2. Step 2: Convert to fraction form
    20,833.45/46,170.47 = 46,170.47/x
  3. Step 3: Cross multiply
    20,833.45x = 46,170.47 × 46,170.47
  4. Step 4: Simplify right side
    20,833.45x = 2,131,712,725.65
  5. Step 5: Solve for x
    x = 2,131,712,725.65/20,833.45
  6. Step 6: Final answer
    x = 102,321.62

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.