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Finding the Third Proportional to 30,792 and 49,588

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Solution

The third proportional to 30,792 and 49,588 is: 79,857.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,792 : 49,588 = 49,588 : x
  2. Step 2: Convert to fraction form
    30,792/49,588 = 49,588/x
  3. Step 3: Cross multiply
    30,792x = 49,588 × 49,588
  4. Step 4: Simplify right side
    30,792x = 2,458,969,744
  5. Step 5: Solve for x
    x = 2,458,969,744/30,792
  6. Step 6: Final answer
    x = 79,857.42

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.