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Finding the Third Proportional to 12,031.03 and 25,620.05

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Solution

The third proportional to 12,031.03 and 25,620.05 is: 54,557.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031.03 : 25,620.05 = 25,620.05 : x
  2. Step 2: Convert to fraction form
    12,031.03/25,620.05 = 25,620.05/x
  3. Step 3: Cross multiply
    12,031.03x = 25,620.05 × 25,620.05
  4. Step 4: Simplify right side
    12,031.03x = 656,386,801.88
  5. Step 5: Solve for x
    x = 656,386,801.88/12,031.03
  6. Step 6: Final answer
    x = 54,557.82

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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.