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Finding the Third Proportional to 36,596 and 85,570

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Solution

The third proportional to 36,596 and 85,570 is: 200,082.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,596 : 85,570 = 85,570 : x
  2. Step 2: Convert to fraction form
    36,596/85,570 = 85,570/x
  3. Step 3: Cross multiply
    36,596x = 85,570 × 85,570
  4. Step 4: Simplify right side
    36,596x = 7,322,224,900
  5. Step 5: Solve for x
    x = 7,322,224,900/36,596
  6. Step 6: Final answer
    x = 200,082.66

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.