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Finding the Third Proportional to 22,698 and 49,873.50

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Solution

The third proportional to 22,698 and 49,873.50 is: 109,585.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,698 : 49,873.50 = 49,873.50 : x
  2. Step 2: Convert to fraction form
    22,698/49,873.50 = 49,873.50/x
  3. Step 3: Cross multiply
    22,698x = 49,873.50 × 49,873.50
  4. Step 4: Simplify right side
    22,698x = 2,487,366,002.25
  5. Step 5: Solve for x
    x = 2,487,366,002.25/22,698
  6. Step 6: Final answer
    x = 109,585.25

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.