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Finding the Third Proportional to 39,006 and 62,064

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Solution

The third proportional to 39,006 and 62,064 is: 98,752.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,006 : 62,064 = 62,064 : x
  2. Step 2: Convert to fraction form
    39,006/62,064 = 62,064/x
  3. Step 3: Cross multiply
    39,006x = 62,064 × 62,064
  4. Step 4: Simplify right side
    39,006x = 3,851,940,096
  5. Step 5: Solve for x
    x = 3,851,940,096/39,006
  6. Step 6: Final answer
    x = 98,752.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.