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Finding the Third Proportional to 10,335.75 and 22,696.50

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Solution

The third proportional to 10,335.75 and 22,696.50 is: 49,839.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,335.75 : 22,696.50 = 22,696.50 : x
  2. Step 2: Convert to fraction form
    10,335.75/22,696.50 = 22,696.50/x
  3. Step 3: Cross multiply
    10,335.75x = 22,696.50 × 22,696.50
  4. Step 4: Simplify right side
    10,335.75x = 515,131,112.25
  5. Step 5: Solve for x
    x = 515,131,112.25/10,335.75
  6. Step 6: Final answer
    x = 49,839.74

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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.