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Finding the Third Proportional to 41,391 and 63,420

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Solution

The third proportional to 41,391 and 63,420 is: 97,173.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,391 : 63,420 = 63,420 : x
  2. Step 2: Convert to fraction form
    41,391/63,420 = 63,420/x
  3. Step 3: Cross multiply
    41,391x = 63,420 × 63,420
  4. Step 4: Simplify right side
    41,391x = 4,022,096,400
  5. Step 5: Solve for x
    x = 4,022,096,400/41,391
  6. Step 6: Final answer
    x = 97,173.21

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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.