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Finding the Third Proportional to 16,345 and 35,283

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Solution

The third proportional to 16,345 and 35,283 is: 76,163.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,345 : 35,283 = 35,283 : x
  2. Step 2: Convert to fraction form
    16,345/35,283 = 35,283/x
  3. Step 3: Cross multiply
    16,345x = 35,283 × 35,283
  4. Step 4: Simplify right side
    16,345x = 1,244,890,089
  5. Step 5: Solve for x
    x = 1,244,890,089/16,345
  6. Step 6: Final answer
    x = 76,163.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.