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Finding the Third Proportional to 39,984 and 59,652

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Solution

The third proportional to 39,984 and 59,652 is: 88,994.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,984 : 59,652 = 59,652 : x
  2. Step 2: Convert to fraction form
    39,984/59,652 = 59,652/x
  3. Step 3: Cross multiply
    39,984x = 59,652 × 59,652
  4. Step 4: Simplify right side
    39,984x = 3,558,361,104
  5. Step 5: Solve for x
    x = 3,558,361,104/39,984
  6. Step 6: Final answer
    x = 88,994.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.