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Finding the Third Proportional to 32,186 and 47,127

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Solution

The third proportional to 32,186 and 47,127 is: 69,003.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,186 : 47,127 = 47,127 : x
  2. Step 2: Convert to fraction form
    32,186/47,127 = 47,127/x
  3. Step 3: Cross multiply
    32,186x = 47,127 × 47,127
  4. Step 4: Simplify right side
    32,186x = 2,220,954,129
  5. Step 5: Solve for x
    x = 2,220,954,129/32,186
  6. Step 6: Final answer
    x = 69,003.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.