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Finding the Third Proportional to 22,905 and 49,198.50

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Solution

The third proportional to 22,905 and 49,198.50 is: 105,675.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,905 : 49,198.50 = 49,198.50 : x
  2. Step 2: Convert to fraction form
    22,905/49,198.50 = 49,198.50/x
  3. Step 3: Cross multiply
    22,905x = 49,198.50 × 49,198.50
  4. Step 4: Simplify right side
    22,905x = 2,420,492,402.25
  5. Step 5: Solve for x
    x = 2,420,492,402.25/22,905
  6. Step 6: Final answer
    x = 105,675.28

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.