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Finding the Third Proportional to 12,389.20 and 25,211.25

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Solution

The third proportional to 12,389.20 and 25,211.25 is: 51,303.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,389.20 : 25,211.25 = 25,211.25 : x
  2. Step 2: Convert to fraction form
    12,389.20/25,211.25 = 25,211.25/x
  3. Step 3: Cross multiply
    12,389.20x = 25,211.25 × 25,211.25
  4. Step 4: Simplify right side
    12,389.20x = 635,607,126.56
  5. Step 5: Solve for x
    x = 635,607,126.56/12,389.20
  6. Step 6: Final answer
    x = 51,303.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.