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Finding the Third Proportional to 22,315.50 and 46,819.69

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Solution

The third proportional to 22,315.50 and 46,819.69 is: 98,231.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,315.50 : 46,819.69 = 46,819.69 : x
  2. Step 2: Convert to fraction form
    22,315.50/46,819.69 = 46,819.69/x
  3. Step 3: Cross multiply
    22,315.50x = 46,819.69 × 46,819.69
  4. Step 4: Simplify right side
    22,315.50x = 2,192,083,137.60
  5. Step 5: Solve for x
    x = 2,192,083,137.60/22,315.50
  6. Step 6: Final answer
    x = 98,231.41

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.