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Finding the Third Proportional to 6,031.22 and 12,354.94

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Solution

The third proportional to 6,031.22 and 12,354.94 is: 25,309.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,031.22 : 12,354.94 = 12,354.94 : x
  2. Step 2: Convert to fraction form
    6,031.22/12,354.94 = 12,354.94/x
  3. Step 3: Cross multiply
    6,031.22x = 12,354.94 × 12,354.94
  4. Step 4: Simplify right side
    6,031.22x = 152,644,480.63
  5. Step 5: Solve for x
    x = 152,644,480.63/6,031.22
  6. Step 6: Final answer
    x = 25,309.06

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.