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Finding the Third Proportional to 19,115 and 29,525

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Solution

The third proportional to 19,115 and 29,525 is: 45,604.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,115 : 29,525 = 29,525 : x
  2. Step 2: Convert to fraction form
    19,115/29,525 = 29,525/x
  3. Step 3: Cross multiply
    19,115x = 29,525 × 29,525
  4. Step 4: Simplify right side
    19,115x = 871,725,625
  5. Step 5: Solve for x
    x = 871,725,625/19,115
  6. Step 6: Final answer
    x = 45,604.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.