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Finding the Third Proportional to 12,850 and 18,783

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Solution

The third proportional to 12,850 and 18,783 is: 27,455.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,850 : 18,783 = 18,783 : x
  2. Step 2: Convert to fraction form
    12,850/18,783 = 18,783/x
  3. Step 3: Cross multiply
    12,850x = 18,783 × 18,783
  4. Step 4: Simplify right side
    12,850x = 352,801,089
  5. Step 5: Solve for x
    x = 352,801,089/12,850
  6. Step 6: Final answer
    x = 27,455.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.