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Finding the Third Proportional to 36,714 and 58,360

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Solution

The third proportional to 36,714 and 58,360 is: 92,768.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,714 : 58,360 = 58,360 : x
  2. Step 2: Convert to fraction form
    36,714/58,360 = 58,360/x
  3. Step 3: Cross multiply
    36,714x = 58,360 × 58,360
  4. Step 4: Simplify right side
    36,714x = 3,405,889,600
  5. Step 5: Solve for x
    x = 3,405,889,600/36,714
  6. Step 6: Final answer
    x = 92,768.14

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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.