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Finding the Third Proportional to 12,122 and 16,587

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Solution

The third proportional to 12,122 and 16,587 is: 22,696.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,122 : 16,587 = 16,587 : x
  2. Step 2: Convert to fraction form
    12,122/16,587 = 16,587/x
  3. Step 3: Cross multiply
    12,122x = 16,587 × 16,587
  4. Step 4: Simplify right side
    12,122x = 275,128,569
  5. Step 5: Solve for x
    x = 275,128,569/12,122
  6. Step 6: Final answer
    x = 22,696.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.