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Finding the Third Proportional to 10,783 and 14,392

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Solution

The third proportional to 10,783 and 14,392 is: 19,208.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783 : 14,392 = 14,392 : x
  2. Step 2: Convert to fraction form
    10,783/14,392 = 14,392/x
  3. Step 3: Cross multiply
    10,783x = 14,392 × 14,392
  4. Step 4: Simplify right side
    10,783x = 207,129,664
  5. Step 5: Solve for x
    x = 207,129,664/10,783
  6. Step 6: Final answer
    x = 19,208.91

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.