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Finding the Third Proportional to 24,805 and 34,696.50

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Solution

The third proportional to 24,805 and 34,696.50 is: 48,532.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,805 : 34,696.50 = 34,696.50 : x
  2. Step 2: Convert to fraction form
    24,805/34,696.50 = 34,696.50/x
  3. Step 3: Cross multiply
    24,805x = 34,696.50 × 34,696.50
  4. Step 4: Simplify right side
    24,805x = 1,203,847,112.25
  5. Step 5: Solve for x
    x = 1,203,847,112.25/24,805
  6. Step 6: Final answer
    x = 48,532.44

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.