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Finding the Third Proportional to 12,650 and 19,845

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Solution

The third proportional to 12,650 and 19,845 is: 31,132.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,650 : 19,845 = 19,845 : x
  2. Step 2: Convert to fraction form
    12,650/19,845 = 19,845/x
  3. Step 3: Cross multiply
    12,650x = 19,845 × 19,845
  4. Step 4: Simplify right side
    12,650x = 393,824,025
  5. Step 5: Solve for x
    x = 393,824,025/12,650
  6. Step 6: Final answer
    x = 31,132.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.