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Finding the Third Proportional to 38,178 and 58,077

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Solution

The third proportional to 38,178 and 58,077 is: 88,347.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,178 : 58,077 = 58,077 : x
  2. Step 2: Convert to fraction form
    38,178/58,077 = 58,077/x
  3. Step 3: Cross multiply
    38,178x = 58,077 × 58,077
  4. Step 4: Simplify right side
    38,178x = 3,372,937,929
  5. Step 5: Solve for x
    x = 3,372,937,929/38,178
  6. Step 6: Final answer
    x = 88,347.69

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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.