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Finding the Third Proportional to 38,176 and 58,992

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Solution

The third proportional to 38,176 and 58,992 is: 91,158.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,176 : 58,992 = 58,992 : x
  2. Step 2: Convert to fraction form
    38,176/58,992 = 58,992/x
  3. Step 3: Cross multiply
    38,176x = 58,992 × 58,992
  4. Step 4: Simplify right side
    38,176x = 3,480,056,064
  5. Step 5: Solve for x
    x = 3,480,056,064/38,176
  6. Step 6: Final answer
    x = 91,158.22

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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.