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Finding the Third Proportional to 23,701 and 51,203

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Solution

The third proportional to 23,701 and 51,203 is: 110,617.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,701 : 51,203 = 51,203 : x
  2. Step 2: Convert to fraction form
    23,701/51,203 = 51,203/x
  3. Step 3: Cross multiply
    23,701x = 51,203 × 51,203
  4. Step 4: Simplify right side
    23,701x = 2,621,747,209
  5. Step 5: Solve for x
    x = 2,621,747,209/23,701
  6. Step 6: Final answer
    x = 110,617.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.