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Finding the Third Proportional to 36,183 and 56,590

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Solution

The third proportional to 36,183 and 56,590 is: 88,506.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,183 : 56,590 = 56,590 : x
  2. Step 2: Convert to fraction form
    36,183/56,590 = 56,590/x
  3. Step 3: Cross multiply
    36,183x = 56,590 × 56,590
  4. Step 4: Simplify right side
    36,183x = 3,202,428,100
  5. Step 5: Solve for x
    x = 3,202,428,100/36,183
  6. Step 6: Final answer
    x = 88,506.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.