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Finding the Third Proportional to 38,024 and 57,153

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Solution

The third proportional to 38,024 and 57,153 is: 85,905.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,024 : 57,153 = 57,153 : x
  2. Step 2: Convert to fraction form
    38,024/57,153 = 57,153/x
  3. Step 3: Cross multiply
    38,024x = 57,153 × 57,153
  4. Step 4: Simplify right side
    38,024x = 3,266,465,409
  5. Step 5: Solve for x
    x = 3,266,465,409/38,024
  6. Step 6: Final answer
    x = 85,905.36

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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.