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Finding the Third Proportional to 25,074.56 and 54,644.63

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Solution

The third proportional to 25,074.56 and 54,644.63 is: 119,086.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,074.56 : 54,644.63 = 54,644.63 : x
  2. Step 2: Convert to fraction form
    25,074.56/54,644.63 = 54,644.63/x
  3. Step 3: Cross multiply
    25,074.56x = 54,644.63 × 54,644.63
  4. Step 4: Simplify right side
    25,074.56x = 2,986,035,041.39
  5. Step 5: Solve for x
    x = 2,986,035,041.39/25,074.56
  6. Step 6: Final answer
    x = 119,086.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.