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Finding the Third Proportional to 41,424 and 53,208

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Solution

The third proportional to 41,424 and 53,208 is: 68,344.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,424 : 53,208 = 53,208 : x
  2. Step 2: Convert to fraction form
    41,424/53,208 = 53,208/x
  3. Step 3: Cross multiply
    41,424x = 53,208 × 53,208
  4. Step 4: Simplify right side
    41,424x = 2,831,091,264
  5. Step 5: Solve for x
    x = 2,831,091,264/41,424
  6. Step 6: Final answer
    x = 68,344.23

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.