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Finding the Third Proportional to 15,881.91 and 23,226.75

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Solution

The third proportional to 15,881.91 and 23,226.75 is: 33,968.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,881.91 : 23,226.75 = 23,226.75 : x
  2. Step 2: Convert to fraction form
    15,881.91/23,226.75 = 23,226.75/x
  3. Step 3: Cross multiply
    15,881.91x = 23,226.75 × 23,226.75
  4. Step 4: Simplify right side
    15,881.91x = 539,481,915.56
  5. Step 5: Solve for x
    x = 539,481,915.56/15,881.91
  6. Step 6: Final answer
    x = 33,968.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.