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Finding the Third Proportional to 32,125 and 51,108

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Solution

The third proportional to 32,125 and 51,108 is: 81,308.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,125 : 51,108 = 51,108 : x
  2. Step 2: Convert to fraction form
    32,125/51,108 = 51,108/x
  3. Step 3: Cross multiply
    32,125x = 51,108 × 51,108
  4. Step 4: Simplify right side
    32,125x = 2,612,027,664
  5. Step 5: Solve for x
    x = 2,612,027,664/32,125
  6. Step 6: Final answer
    x = 81,308.25

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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.