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Finding the Third Proportional to 40,780 and 60,412

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Solution

The third proportional to 40,780 and 60,412 is: 89,495.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,780 : 60,412 = 60,412 : x
  2. Step 2: Convert to fraction form
    40,780/60,412 = 60,412/x
  3. Step 3: Cross multiply
    40,780x = 60,412 × 60,412
  4. Step 4: Simplify right side
    40,780x = 3,649,609,744
  5. Step 5: Solve for x
    x = 3,649,609,744/40,780
  6. Step 6: Final answer
    x = 89,495.09

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.