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Finding the Third Proportional to 10,599.75 and 23,316.75

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Solution

The third proportional to 10,599.75 and 23,316.75 is: 51,290.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599.75 : 23,316.75 = 23,316.75 : x
  2. Step 2: Convert to fraction form
    10,599.75/23,316.75 = 23,316.75/x
  3. Step 3: Cross multiply
    10,599.75x = 23,316.75 × 23,316.75
  4. Step 4: Simplify right side
    10,599.75x = 543,670,830.56
  5. Step 5: Solve for x
    x = 543,670,830.56/10,599.75
  6. Step 6: Final answer
    x = 51,290.91

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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.