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Finding the Third Proportional to 5,946.50 and 12,831

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Solution

The third proportional to 5,946.50 and 12,831 is: 27,685.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.50 : 12,831 = 12,831 : x
  2. Step 2: Convert to fraction form
    5,946.50/12,831 = 12,831/x
  3. Step 3: Cross multiply
    5,946.50x = 12,831 × 12,831
  4. Step 4: Simplify right side
    5,946.50x = 164,634,561
  5. Step 5: Solve for x
    x = 164,634,561/5,946.50
  6. Step 6: Final answer
    x = 27,685.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.