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Finding the Third Proportional to 5,112 and 12,334.50

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Solution

The third proportional to 5,112 and 12,334.50 is: 29,761.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,112 : 12,334.50 = 12,334.50 : x
  2. Step 2: Convert to fraction form
    5,112/12,334.50 = 12,334.50/x
  3. Step 3: Cross multiply
    5,112x = 12,334.50 × 12,334.50
  4. Step 4: Simplify right side
    5,112x = 152,139,890.25
  5. Step 5: Solve for x
    x = 152,139,890.25/5,112
  6. Step 6: Final answer
    x = 29,761.32

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.