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Finding the Third Proportional to 36,395 and 57,874.50

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Solution

The third proportional to 36,395 and 57,874.50 is: 92,030.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,395 : 57,874.50 = 57,874.50 : x
  2. Step 2: Convert to fraction form
    36,395/57,874.50 = 57,874.50/x
  3. Step 3: Cross multiply
    36,395x = 57,874.50 × 57,874.50
  4. Step 4: Simplify right side
    36,395x = 3,349,457,750.25
  5. Step 5: Solve for x
    x = 3,349,457,750.25/36,395
  6. Step 6: Final answer
    x = 92,030.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.