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Finding the Third Proportional to 40,546 and 60,655

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Solution

The third proportional to 40,546 and 60,655 is: 90,737.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,546 : 60,655 = 60,655 : x
  2. Step 2: Convert to fraction form
    40,546/60,655 = 60,655/x
  3. Step 3: Cross multiply
    40,546x = 60,655 × 60,655
  4. Step 4: Simplify right side
    40,546x = 3,679,029,025
  5. Step 5: Solve for x
    x = 3,679,029,025/40,546
  6. Step 6: Final answer
    x = 90,737.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.