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Finding the Third Proportional to 23,776 and 51,232

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Solution

The third proportional to 23,776 and 51,232 is: 110,393.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,776 : 51,232 = 51,232 : x
  2. Step 2: Convert to fraction form
    23,776/51,232 = 51,232/x
  3. Step 3: Cross multiply
    23,776x = 51,232 × 51,232
  4. Step 4: Simplify right side
    23,776x = 2,624,717,824
  5. Step 5: Solve for x
    x = 2,624,717,824/23,776
  6. Step 6: Final answer
    x = 110,393.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.