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Finding the Third Proportional to 36,722 and 58,364

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Solution

The third proportional to 36,722 and 58,364 is: 92,760.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,722 : 58,364 = 58,364 : x
  2. Step 2: Convert to fraction form
    36,722/58,364 = 58,364/x
  3. Step 3: Cross multiply
    36,722x = 58,364 × 58,364
  4. Step 4: Simplify right side
    36,722x = 3,406,356,496
  5. Step 5: Solve for x
    x = 3,406,356,496/36,722
  6. Step 6: Final answer
    x = 92,760.65

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.