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Finding the Third Proportional to 41,757 and 73,594

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Solution

The third proportional to 41,757 and 73,594 is: 129,704.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,757 : 73,594 = 73,594 : x
  2. Step 2: Convert to fraction form
    41,757/73,594 = 73,594/x
  3. Step 3: Cross multiply
    41,757x = 73,594 × 73,594
  4. Step 4: Simplify right side
    41,757x = 5,416,076,836
  5. Step 5: Solve for x
    x = 5,416,076,836/41,757
  6. Step 6: Final answer
    x = 129,704.64

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.