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Finding the Third Proportional to 11,778.25 and 16,507

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Solution

The third proportional to 11,778.25 and 16,507 is: 23,134.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.25 : 16,507 = 16,507 : x
  2. Step 2: Convert to fraction form
    11,778.25/16,507 = 16,507/x
  3. Step 3: Cross multiply
    11,778.25x = 16,507 × 16,507
  4. Step 4: Simplify right side
    11,778.25x = 272,481,049
  5. Step 5: Solve for x
    x = 272,481,049/11,778.25
  6. Step 6: Final answer
    x = 23,134.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.