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Finding the Third Proportional to 23,385 and 51,693

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Solution

The third proportional to 23,385 and 51,693 is: 114,268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,385 : 51,693 = 51,693 : x
  2. Step 2: Convert to fraction form
    23,385/51,693 = 51,693/x
  3. Step 3: Cross multiply
    23,385x = 51,693 × 51,693
  4. Step 4: Simplify right side
    23,385x = 2,672,166,249
  5. Step 5: Solve for x
    x = 2,672,166,249/23,385
  6. Step 6: Final answer
    x = 114,268.39

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.