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Finding the Third Proportional to 38,594 and 55,875

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Solution

The third proportional to 38,594 and 55,875 is: 80,893.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,594 : 55,875 = 55,875 : x
  2. Step 2: Convert to fraction form
    38,594/55,875 = 55,875/x
  3. Step 3: Cross multiply
    38,594x = 55,875 × 55,875
  4. Step 4: Simplify right side
    38,594x = 3,122,015,625
  5. Step 5: Solve for x
    x = 3,122,015,625/38,594
  6. Step 6: Final answer
    x = 80,893.81

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.