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Finding the Third Proportional to 23,584 and 51,327

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Solution

The third proportional to 23,584 and 51,327 is: 111,705.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,584 : 51,327 = 51,327 : x
  2. Step 2: Convert to fraction form
    23,584/51,327 = 51,327/x
  3. Step 3: Cross multiply
    23,584x = 51,327 × 51,327
  4. Step 4: Simplify right side
    23,584x = 2,634,460,929
  5. Step 5: Solve for x
    x = 2,634,460,929/23,584
  6. Step 6: Final answer
    x = 111,705.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.