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Finding the Third Proportional to 39,720 and 61,760

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Solution

The third proportional to 39,720 and 61,760 is: 96,029.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,720 : 61,760 = 61,760 : x
  2. Step 2: Convert to fraction form
    39,720/61,760 = 61,760/x
  3. Step 3: Cross multiply
    39,720x = 61,760 × 61,760
  4. Step 4: Simplify right side
    39,720x = 3,814,297,600
  5. Step 5: Solve for x
    x = 3,814,297,600/39,720
  6. Step 6: Final answer
    x = 96,029.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.