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Finding the Third Proportional to 12,659.63 and 18,781.88

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Solution

The third proportional to 12,659.63 and 18,781.88 is: 27,864.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,659.63 : 18,781.88 = 18,781.88 : x
  2. Step 2: Convert to fraction form
    12,659.63/18,781.88 = 18,781.88/x
  3. Step 3: Cross multiply
    12,659.63x = 18,781.88 × 18,781.88
  4. Step 4: Simplify right side
    12,659.63x = 352,758,828.52
  5. Step 5: Solve for x
    x = 352,758,828.52/12,659.63
  6. Step 6: Final answer
    x = 27,864.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.