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Finding the Third Proportional to 39,760 and 59,640

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Solution

The third proportional to 39,760 and 59,640 is: 89,460

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,760 : 59,640 = 59,640 : x
  2. Step 2: Convert to fraction form
    39,760/59,640 = 59,640/x
  3. Step 3: Cross multiply
    39,760x = 59,640 × 59,640
  4. Step 4: Simplify right side
    39,760x = 3,556,929,600
  5. Step 5: Solve for x
    x = 3,556,929,600/39,760
  6. Step 6: Final answer
    x = 89,460

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.