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Finding the Third Proportional to 10,093.75 and 23,576.50

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Solution

The third proportional to 10,093.75 and 23,576.50 is: 55,068.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093.75 : 23,576.50 = 23,576.50 : x
  2. Step 2: Convert to fraction form
    10,093.75/23,576.50 = 23,576.50/x
  3. Step 3: Cross multiply
    10,093.75x = 23,576.50 × 23,576.50
  4. Step 4: Simplify right side
    10,093.75x = 555,851,352.25
  5. Step 5: Solve for x
    x = 555,851,352.25/10,093.75
  6. Step 6: Final answer
    x = 55,068.86

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.