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Finding the Third Proportional to 40,851 and 59,655

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Solution

The third proportional to 40,851 and 59,655 is: 87,114.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,851 : 59,655 = 59,655 : x
  2. Step 2: Convert to fraction form
    40,851/59,655 = 59,655/x
  3. Step 3: Cross multiply
    40,851x = 59,655 × 59,655
  4. Step 4: Simplify right side
    40,851x = 3,558,719,025
  5. Step 5: Solve for x
    x = 3,558,719,025/40,851
  6. Step 6: Final answer
    x = 87,114.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.