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Finding the Third Proportional to 13,055 and 19,525

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Solution

The third proportional to 13,055 and 19,525 is: 29,201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,055 : 19,525 = 19,525 : x
  2. Step 2: Convert to fraction form
    13,055/19,525 = 19,525/x
  3. Step 3: Cross multiply
    13,055x = 19,525 × 19,525
  4. Step 4: Simplify right side
    13,055x = 381,225,625
  5. Step 5: Solve for x
    x = 381,225,625/13,055
  6. Step 6: Final answer
    x = 29,201.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.