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Finding the Third Proportional to 15,419 and 20,498.50

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Solution

The third proportional to 15,419 and 20,498.50 is: 27,251.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,419 : 20,498.50 = 20,498.50 : x
  2. Step 2: Convert to fraction form
    15,419/20,498.50 = 20,498.50/x
  3. Step 3: Cross multiply
    15,419x = 20,498.50 × 20,498.50
  4. Step 4: Simplify right side
    15,419x = 420,188,502.25
  5. Step 5: Solve for x
    x = 420,188,502.25/15,419
  6. Step 6: Final answer
    x = 27,251.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.