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Finding the Third Proportional to 24,914.25 and 38,601.56

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Solution

The third proportional to 24,914.25 and 38,601.56 is: 59,808.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,914.25 : 38,601.56 = 38,601.56 : x
  2. Step 2: Convert to fraction form
    24,914.25/38,601.56 = 38,601.56/x
  3. Step 3: Cross multiply
    24,914.25x = 38,601.56 × 38,601.56
  4. Step 4: Simplify right side
    24,914.25x = 1,490,080,627.44
  5. Step 5: Solve for x
    x = 1,490,080,627.44/24,914.25
  6. Step 6: Final answer
    x = 59,808.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.