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Finding the Third Proportional to 40,856 and 65,550

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Solution

The third proportional to 40,856 and 65,550 is: 105,169.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,856 : 65,550 = 65,550 : x
  2. Step 2: Convert to fraction form
    40,856/65,550 = 65,550/x
  3. Step 3: Cross multiply
    40,856x = 65,550 × 65,550
  4. Step 4: Simplify right side
    40,856x = 4,296,802,500
  5. Step 5: Solve for x
    x = 4,296,802,500/40,856
  6. Step 6: Final answer
    x = 105,169.44

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.