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Finding the Third Proportional to 36,309 and 56,082

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Solution

The third proportional to 36,309 and 56,082 is: 86,622.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,309 : 56,082 = 56,082 : x
  2. Step 2: Convert to fraction form
    36,309/56,082 = 56,082/x
  3. Step 3: Cross multiply
    36,309x = 56,082 × 56,082
  4. Step 4: Simplify right side
    36,309x = 3,145,190,724
  5. Step 5: Solve for x
    x = 3,145,190,724/36,309
  6. Step 6: Final answer
    x = 86,622.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.