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Finding the Third Proportional to 16,465 and 36,211

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Solution

The third proportional to 16,465 and 36,211 is: 79,637.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,465 : 36,211 = 36,211 : x
  2. Step 2: Convert to fraction form
    16,465/36,211 = 36,211/x
  3. Step 3: Cross multiply
    16,465x = 36,211 × 36,211
  4. Step 4: Simplify right side
    16,465x = 1,311,236,521
  5. Step 5: Solve for x
    x = 1,311,236,521/16,465
  6. Step 6: Final answer
    x = 79,637.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.