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Finding the Third Proportional to 10,783 and 16,649

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Solution

The third proportional to 10,783 and 16,649 is: 25,706.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783 : 16,649 = 16,649 : x
  2. Step 2: Convert to fraction form
    10,783/16,649 = 16,649/x
  3. Step 3: Cross multiply
    10,783x = 16,649 × 16,649
  4. Step 4: Simplify right side
    10,783x = 277,189,201
  5. Step 5: Solve for x
    x = 277,189,201/10,783
  6. Step 6: Final answer
    x = 25,706.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.