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Finding the Third Proportional to 23,385 and 51,153

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Solution

The third proportional to 23,385 and 51,153 is: 111,893.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,385 : 51,153 = 51,153 : x
  2. Step 2: Convert to fraction form
    23,385/51,153 = 51,153/x
  3. Step 3: Cross multiply
    23,385x = 51,153 × 51,153
  4. Step 4: Simplify right side
    23,385x = 2,616,629,409
  5. Step 5: Solve for x
    x = 2,616,629,409/23,385
  6. Step 6: Final answer
    x = 111,893.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.