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Finding the Third Proportional to 12,669 and 19,502

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Solution

The third proportional to 12,669 and 19,502 is: 30,020.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,669 : 19,502 = 19,502 : x
  2. Step 2: Convert to fraction form
    12,669/19,502 = 19,502/x
  3. Step 3: Cross multiply
    12,669x = 19,502 × 19,502
  4. Step 4: Simplify right side
    12,669x = 380,328,004
  5. Step 5: Solve for x
    x = 380,328,004/12,669
  6. Step 6: Final answer
    x = 30,020.36

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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.