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Finding the Third Proportional to 40,178 and 56,595

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Solution

The third proportional to 40,178 and 56,595 is: 79,720.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,178 : 56,595 = 56,595 : x
  2. Step 2: Convert to fraction form
    40,178/56,595 = 56,595/x
  3. Step 3: Cross multiply
    40,178x = 56,595 × 56,595
  4. Step 4: Simplify right side
    40,178x = 3,202,994,025
  5. Step 5: Solve for x
    x = 3,202,994,025/40,178
  6. Step 6: Final answer
    x = 79,720.10

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.