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Finding the Third Proportional to 12,338 and 19,623

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Solution

The third proportional to 12,338 and 19,623 is: 31,209.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,338 : 19,623 = 19,623 : x
  2. Step 2: Convert to fraction form
    12,338/19,623 = 19,623/x
  3. Step 3: Cross multiply
    12,338x = 19,623 × 19,623
  4. Step 4: Simplify right side
    12,338x = 385,062,129
  5. Step 5: Solve for x
    x = 385,062,129/12,338
  6. Step 6: Final answer
    x = 31,209.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.