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Finding the Third Proportional to 36,389 and 57,865

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Solution

The third proportional to 36,389 and 57,865 is: 92,015.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,389 : 57,865 = 57,865 : x
  2. Step 2: Convert to fraction form
    36,389/57,865 = 57,865/x
  3. Step 3: Cross multiply
    36,389x = 57,865 × 57,865
  4. Step 4: Simplify right side
    36,389x = 3,348,358,225
  5. Step 5: Solve for x
    x = 3,348,358,225/36,389
  6. Step 6: Final answer
    x = 92,015.67

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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.