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Finding the Third Proportional to 13,050 and 20,211

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Solution

The third proportional to 13,050 and 20,211 is: 31,301.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,050 : 20,211 = 20,211 : x
  2. Step 2: Convert to fraction form
    13,050/20,211 = 20,211/x
  3. Step 3: Cross multiply
    13,050x = 20,211 × 20,211
  4. Step 4: Simplify right side
    13,050x = 408,484,521
  5. Step 5: Solve for x
    x = 408,484,521/13,050
  6. Step 6: Final answer
    x = 31,301.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.