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Finding the Third Proportional to 25,654.54 and 38,379.29

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Solution

The third proportional to 25,654.54 and 38,379.29 is: 57,415.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,654.54 : 38,379.29 = 38,379.29 : x
  2. Step 2: Convert to fraction form
    25,654.54/38,379.29 = 38,379.29/x
  3. Step 3: Cross multiply
    25,654.54x = 38,379.29 × 38,379.29
  4. Step 4: Simplify right side
    25,654.54x = 1,472,969,679.02
  5. Step 5: Solve for x
    x = 1,472,969,679.02/25,654.54
  6. Step 6: Final answer
    x = 57,415.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.