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Finding the Third Proportional to 16,479 and 35,145

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Solution

The third proportional to 16,479 and 35,145 is: 74,954.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,479 : 35,145 = 35,145 : x
  2. Step 2: Convert to fraction form
    16,479/35,145 = 35,145/x
  3. Step 3: Cross multiply
    16,479x = 35,145 × 35,145
  4. Step 4: Simplify right side
    16,479x = 1,235,171,025
  5. Step 5: Solve for x
    x = 1,235,171,025/16,479
  6. Step 6: Final answer
    x = 74,954.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.