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Finding the Third Proportional to 25,234.50 and 38,735.44

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Solution

The third proportional to 25,234.50 and 38,735.44 is: 59,459.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,234.50 : 38,735.44 = 38,735.44 : x
  2. Step 2: Convert to fraction form
    25,234.50/38,735.44 = 38,735.44/x
  3. Step 3: Cross multiply
    25,234.50x = 38,735.44 × 38,735.44
  4. Step 4: Simplify right side
    25,234.50x = 1,500,434,118.32
  5. Step 5: Solve for x
    x = 1,500,434,118.32/25,234.50
  6. Step 6: Final answer
    x = 59,459.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.