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Finding the Third Proportional to 10,783 and 16,357

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Solution

The third proportional to 10,783 and 16,357 is: 24,812.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783 : 16,357 = 16,357 : x
  2. Step 2: Convert to fraction form
    10,783/16,357 = 16,357/x
  3. Step 3: Cross multiply
    10,783x = 16,357 × 16,357
  4. Step 4: Simplify right side
    10,783x = 267,551,449
  5. Step 5: Solve for x
    x = 267,551,449/10,783
  6. Step 6: Final answer
    x = 24,812.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.