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Finding the Third Proportional to 12,850 and 19,431

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Solution

The third proportional to 12,850 and 19,431 is: 29,382.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,850 : 19,431 = 19,431 : x
  2. Step 2: Convert to fraction form
    12,850/19,431 = 19,431/x
  3. Step 3: Cross multiply
    12,850x = 19,431 × 19,431
  4. Step 4: Simplify right side
    12,850x = 377,563,761
  5. Step 5: Solve for x
    x = 377,563,761/12,850
  6. Step 6: Final answer
    x = 29,382.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.