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Finding the Third Proportional to 36,828 and 57,153

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Solution

The third proportional to 36,828 and 57,153 is: 88,695.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,828 : 57,153 = 57,153 : x
  2. Step 2: Convert to fraction form
    36,828/57,153 = 57,153/x
  3. Step 3: Cross multiply
    36,828x = 57,153 × 57,153
  4. Step 4: Simplify right side
    36,828x = 3,266,465,409
  5. Step 5: Solve for x
    x = 3,266,465,409/36,828
  6. Step 6: Final answer
    x = 88,695.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.