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Finding the Third Proportional to 39,216 and 59,999

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Solution

The third proportional to 39,216 and 59,999 is: 91,796.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,216 : 59,999 = 59,999 : x
  2. Step 2: Convert to fraction form
    39,216/59,999 = 59,999/x
  3. Step 3: Cross multiply
    39,216x = 59,999 × 59,999
  4. Step 4: Simplify right side
    39,216x = 3,599,880,001
  5. Step 5: Solve for x
    x = 3,599,880,001/39,216
  6. Step 6: Final answer
    x = 91,796.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.