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Finding the Third Proportional to 12,302 and 16,507

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Solution

The third proportional to 12,302 and 16,507 is: 22,149.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,302 : 16,507 = 16,507 : x
  2. Step 2: Convert to fraction form
    12,302/16,507 = 16,507/x
  3. Step 3: Cross multiply
    12,302x = 16,507 × 16,507
  4. Step 4: Simplify right side
    12,302x = 272,481,049
  5. Step 5: Solve for x
    x = 272,481,049/12,302
  6. Step 6: Final answer
    x = 22,149.33

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.