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Finding the Third Proportional to 23,757 and 51,402

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Solution

The third proportional to 23,757 and 51,402 is: 111,216.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,757 : 51,402 = 51,402 : x
  2. Step 2: Convert to fraction form
    23,757/51,402 = 51,402/x
  3. Step 3: Cross multiply
    23,757x = 51,402 × 51,402
  4. Step 4: Simplify right side
    23,757x = 2,642,165,604
  5. Step 5: Solve for x
    x = 2,642,165,604/23,757
  6. Step 6: Final answer
    x = 111,216.30

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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.