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Finding the Third Proportional to 23,769 and 35,289

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Solution

The third proportional to 23,769 and 35,289 is: 52,392.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,769 : 35,289 = 35,289 : x
  2. Step 2: Convert to fraction form
    23,769/35,289 = 35,289/x
  3. Step 3: Cross multiply
    23,769x = 35,289 × 35,289
  4. Step 4: Simplify right side
    23,769x = 1,245,313,521
  5. Step 5: Solve for x
    x = 1,245,313,521/23,769
  6. Step 6: Final answer
    x = 52,392.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.