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Finding the Third Proportional to 38,079 and 56,895

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Solution

The third proportional to 38,079 and 56,895 is: 85,008.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,079 : 56,895 = 56,895 : x
  2. Step 2: Convert to fraction form
    38,079/56,895 = 56,895/x
  3. Step 3: Cross multiply
    38,079x = 56,895 × 56,895
  4. Step 4: Simplify right side
    38,079x = 3,237,041,025
  5. Step 5: Solve for x
    x = 3,237,041,025/38,079
  6. Step 6: Final answer
    x = 85,008.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.