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Finding the Third Proportional to 19,662.75 and 48,913.88

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Solution

The third proportional to 19,662.75 and 48,913.88 is: 121,680.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,662.75 : 48,913.88 = 48,913.88 : x
  2. Step 2: Convert to fraction form
    19,662.75/48,913.88 = 48,913.88/x
  3. Step 3: Cross multiply
    19,662.75x = 48,913.88 × 48,913.88
  4. Step 4: Simplify right side
    19,662.75x = 2,392,567,167.52
  5. Step 5: Solve for x
    x = 2,392,567,167.52/19,662.75
  6. Step 6: Final answer
    x = 121,680.19

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These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.