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Finding the Third Proportional to 12,372.75 and 25,980.75

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Solution

The third proportional to 12,372.75 and 25,980.75 is: 54,555.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,372.75 : 25,980.75 = 25,980.75 : x
  2. Step 2: Convert to fraction form
    12,372.75/25,980.75 = 25,980.75/x
  3. Step 3: Cross multiply
    12,372.75x = 25,980.75 × 25,980.75
  4. Step 4: Simplify right side
    12,372.75x = 674,999,370.56
  5. Step 5: Solve for x
    x = 674,999,370.56/12,372.75
  6. Step 6: Final answer
    x = 54,555.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.