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Finding the Third Proportional to 5,991.47 and 12,461.34

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Solution

The third proportional to 5,991.47 and 12,461.34 is: 25,917.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,991.47 : 12,461.34 = 12,461.34 : x
  2. Step 2: Convert to fraction form
    5,991.47/12,461.34 = 12,461.34/x
  3. Step 3: Cross multiply
    5,991.47x = 12,461.34 × 12,461.34
  4. Step 4: Simplify right side
    5,991.47x = 155,285,088.06
  5. Step 5: Solve for x
    x = 155,285,088.06/5,991.47
  6. Step 6: Final answer
    x = 25,917.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.