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Finding the Third Proportional to 36,373 and 56,166

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Solution

The third proportional to 36,373 and 56,166 is: 86,729.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,373 : 56,166 = 56,166 : x
  2. Step 2: Convert to fraction form
    36,373/56,166 = 56,166/x
  3. Step 3: Cross multiply
    36,373x = 56,166 × 56,166
  4. Step 4: Simplify right side
    36,373x = 3,154,619,556
  5. Step 5: Solve for x
    x = 3,154,619,556/36,373
  6. Step 6: Final answer
    x = 86,729.70

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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.