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Finding the Third Proportional to 24,819.75 and 48,394.13

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Solution

The third proportional to 24,819.75 and 48,394.13 is: 94,359.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,819.75 : 48,394.13 = 48,394.13 : x
  2. Step 2: Convert to fraction form
    24,819.75/48,394.13 = 48,394.13/x
  3. Step 3: Cross multiply
    24,819.75x = 48,394.13 × 48,394.13
  4. Step 4: Simplify right side
    24,819.75x = 2,341,991,334.52
  5. Step 5: Solve for x
    x = 2,341,991,334.52/24,819.75
  6. Step 6: Final answer
    x = 94,359.99

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.