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Finding the Third Proportional to 16,348 and 35,462

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Solution

The third proportional to 16,348 and 35,462 is: 76,923.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,348 : 35,462 = 35,462 : x
  2. Step 2: Convert to fraction form
    16,348/35,462 = 35,462/x
  3. Step 3: Cross multiply
    16,348x = 35,462 × 35,462
  4. Step 4: Simplify right side
    16,348x = 1,257,553,444
  5. Step 5: Solve for x
    x = 1,257,553,444/16,348
  6. Step 6: Final answer
    x = 76,923.99

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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.