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Finding the Third Proportional to 39,546 and 60,318

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Solution

The third proportional to 39,546 and 60,318 is: 92,000.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,546 : 60,318 = 60,318 : x
  2. Step 2: Convert to fraction form
    39,546/60,318 = 60,318/x
  3. Step 3: Cross multiply
    39,546x = 60,318 × 60,318
  4. Step 4: Simplify right side
    39,546x = 3,638,261,124
  5. Step 5: Solve for x
    x = 3,638,261,124/39,546
  6. Step 6: Final answer
    x = 92,000.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.