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Finding the Third Proportional to 46,828.13 and 68,556.38

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Solution

The third proportional to 46,828.13 and 68,556.38 is: 100,366.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,828.13 : 68,556.38 = 68,556.38 : x
  2. Step 2: Convert to fraction form
    46,828.13/68,556.38 = 68,556.38/x
  3. Step 3: Cross multiply
    46,828.13x = 68,556.38 × 68,556.38
  4. Step 4: Simplify right side
    46,828.13x = 4,699,976,553.14
  5. Step 5: Solve for x
    x = 4,699,976,553.14/46,828.13
  6. Step 6: Final answer
    x = 100,366.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.