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Finding the Third Proportional to 41,740 and 62,980

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Solution

The third proportional to 41,740 and 62,980 is: 95,028.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,740 : 62,980 = 62,980 : x
  2. Step 2: Convert to fraction form
    41,740/62,980 = 62,980/x
  3. Step 3: Cross multiply
    41,740x = 62,980 × 62,980
  4. Step 4: Simplify right side
    41,740x = 3,966,480,400
  5. Step 5: Solve for x
    x = 3,966,480,400/41,740
  6. Step 6: Final answer
    x = 95,028.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.