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Finding the Third Proportional to 38,153 and 57,878

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Solution

The third proportional to 38,153 and 57,878 is: 87,800.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,153 : 57,878 = 57,878 : x
  2. Step 2: Convert to fraction form
    38,153/57,878 = 57,878/x
  3. Step 3: Cross multiply
    38,153x = 57,878 × 57,878
  4. Step 4: Simplify right side
    38,153x = 3,349,862,884
  5. Step 5: Solve for x
    x = 3,349,862,884/38,153
  6. Step 6: Final answer
    x = 87,800.77

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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.