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Finding the Third Proportional to 40,840 and 64,176

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Solution

The third proportional to 40,840 and 64,176 is: 100,846.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,840 : 64,176 = 64,176 : x
  2. Step 2: Convert to fraction form
    40,840/64,176 = 64,176/x
  3. Step 3: Cross multiply
    40,840x = 64,176 × 64,176
  4. Step 4: Simplify right side
    40,840x = 4,118,558,976
  5. Step 5: Solve for x
    x = 4,118,558,976/40,840
  6. Step 6: Final answer
    x = 100,846.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.