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Finding the Third Proportional to 12,252 and 14,908

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Solution

The third proportional to 12,252 and 14,908 is: 18,139.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,252 : 14,908 = 14,908 : x
  2. Step 2: Convert to fraction form
    12,252/14,908 = 14,908/x
  3. Step 3: Cross multiply
    12,252x = 14,908 × 14,908
  4. Step 4: Simplify right side
    12,252x = 222,248,464
  5. Step 5: Solve for x
    x = 222,248,464/12,252
  6. Step 6: Final answer
    x = 18,139.77

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.