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Finding the Third Proportional to 36,178 and 56,582

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Solution

The third proportional to 36,178 and 56,582 is: 88,493.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,178 : 56,582 = 56,582 : x
  2. Step 2: Convert to fraction form
    36,178/56,582 = 56,582/x
  3. Step 3: Cross multiply
    36,178x = 56,582 × 56,582
  4. Step 4: Simplify right side
    36,178x = 3,201,522,724
  5. Step 5: Solve for x
    x = 3,201,522,724/36,178
  6. Step 6: Final answer
    x = 88,493.63

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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.