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Finding the Third Proportional to 38,026 and 57,156

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Solution

The third proportional to 38,026 and 57,156 is: 85,909.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,026 : 57,156 = 57,156 : x
  2. Step 2: Convert to fraction form
    38,026/57,156 = 57,156/x
  3. Step 3: Cross multiply
    38,026x = 57,156 × 57,156
  4. Step 4: Simplify right side
    38,026x = 3,266,808,336
  5. Step 5: Solve for x
    x = 3,266,808,336/38,026
  6. Step 6: Final answer
    x = 85,909.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.