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Finding the Third Proportional to 12,985.31 and 23,274.84

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Solution

The third proportional to 12,985.31 and 23,274.84 is: 41,717.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,985.31 : 23,274.84 = 23,274.84 : x
  2. Step 2: Convert to fraction form
    12,985.31/23,274.84 = 23,274.84/x
  3. Step 3: Cross multiply
    12,985.31x = 23,274.84 × 23,274.84
  4. Step 4: Simplify right side
    12,985.31x = 541,718,351.59
  5. Step 5: Solve for x
    x = 541,718,351.59/12,985.31
  6. Step 6: Final answer
    x = 41,717.78

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.