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Finding the Third Proportional to 12,374 and 13,673

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Solution

The third proportional to 12,374 and 13,673 is: 15,108.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374 : 13,673 = 13,673 : x
  2. Step 2: Convert to fraction form
    12,374/13,673 = 13,673/x
  3. Step 3: Cross multiply
    12,374x = 13,673 × 13,673
  4. Step 4: Simplify right side
    12,374x = 186,950,929
  5. Step 5: Solve for x
    x = 186,950,929/12,374
  6. Step 6: Final answer
    x = 15,108.37

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.