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Finding the Third Proportional to 39,669 and 59,910

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Solution

The third proportional to 39,669 and 59,910 is: 90,478.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,669 : 59,910 = 59,910 : x
  2. Step 2: Convert to fraction form
    39,669/59,910 = 59,910/x
  3. Step 3: Cross multiply
    39,669x = 59,910 × 59,910
  4. Step 4: Simplify right side
    39,669x = 3,589,208,100
  5. Step 5: Solve for x
    x = 3,589,208,100/39,669
  6. Step 6: Final answer
    x = 90,478.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.