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Finding the Third Proportional to 5,977.13 and 12,749.06

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Solution

The third proportional to 5,977.13 and 12,749.06 is: 27,193.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.13 : 12,749.06 = 12,749.06 : x
  2. Step 2: Convert to fraction form
    5,977.13/12,749.06 = 12,749.06/x
  3. Step 3: Cross multiply
    5,977.13x = 12,749.06 × 12,749.06
  4. Step 4: Simplify right side
    5,977.13x = 162,538,594.63
  5. Step 5: Solve for x
    x = 162,538,594.63/5,977.13
  6. Step 6: Final answer
    x = 27,193.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.