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Finding the Third Proportional to 16,219 and 35,207

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Solution

The third proportional to 16,219 and 35,207 is: 76,424.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,219 : 35,207 = 35,207 : x
  2. Step 2: Convert to fraction form
    16,219/35,207 = 35,207/x
  3. Step 3: Cross multiply
    16,219x = 35,207 × 35,207
  4. Step 4: Simplify right side
    16,219x = 1,239,532,849
  5. Step 5: Solve for x
    x = 1,239,532,849/16,219
  6. Step 6: Final answer
    x = 76,424.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.