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Finding the Third Proportional to 42,680 and 56,635

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Solution

The third proportional to 42,680 and 56,635 is: 75,152.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,680 : 56,635 = 56,635 : x
  2. Step 2: Convert to fraction form
    42,680/56,635 = 56,635/x
  3. Step 3: Cross multiply
    42,680x = 56,635 × 56,635
  4. Step 4: Simplify right side
    42,680x = 3,207,523,225
  5. Step 5: Solve for x
    x = 3,207,523,225/42,680
  6. Step 6: Final answer
    x = 75,152.84

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.