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Finding the Third Proportional to 30,849.19 and 41,802.75

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Solution

The third proportional to 30,849.19 and 41,802.75 is: 56,645.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,849.19 : 41,802.75 = 41,802.75 : x
  2. Step 2: Convert to fraction form
    30,849.19/41,802.75 = 41,802.75/x
  3. Step 3: Cross multiply
    30,849.19x = 41,802.75 × 41,802.75
  4. Step 4: Simplify right side
    30,849.19x = 1,747,469,907.56
  5. Step 5: Solve for x
    x = 1,747,469,907.56/30,849.19
  6. Step 6: Final answer
    x = 56,645.57

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.