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Finding the Third Proportional to 38,064 and 60,616

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Solution

The third proportional to 38,064 and 60,616 is: 96,529.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,064 : 60,616 = 60,616 : x
  2. Step 2: Convert to fraction form
    38,064/60,616 = 60,616/x
  3. Step 3: Cross multiply
    38,064x = 60,616 × 60,616
  4. Step 4: Simplify right side
    38,064x = 3,674,299,456
  5. Step 5: Solve for x
    x = 3,674,299,456/38,064
  6. Step 6: Final answer
    x = 96,529.51

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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.