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Finding the Third Proportional to 25,594 and 38,923

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Solution

The third proportional to 25,594 and 38,923 is: 59,193.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,594 : 38,923 = 38,923 : x
  2. Step 2: Convert to fraction form
    25,594/38,923 = 38,923/x
  3. Step 3: Cross multiply
    25,594x = 38,923 × 38,923
  4. Step 4: Simplify right side
    25,594x = 1,514,999,929
  5. Step 5: Solve for x
    x = 1,514,999,929/25,594
  6. Step 6: Final answer
    x = 59,193.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.