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Finding the Third Proportional to 36,720 and 56,178

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Solution

The third proportional to 36,720 and 56,178 is: 85,946.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,720 : 56,178 = 56,178 : x
  2. Step 2: Convert to fraction form
    36,720/56,178 = 56,178/x
  3. Step 3: Cross multiply
    36,720x = 56,178 × 56,178
  4. Step 4: Simplify right side
    36,720x = 3,155,967,684
  5. Step 5: Solve for x
    x = 3,155,967,684/36,720
  6. Step 6: Final answer
    x = 85,946.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.