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Finding the Third Proportional to 21,431 and 32,125

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Solution

The third proportional to 21,431 and 32,125 is: 48,155.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,431 : 32,125 = 32,125 : x
  2. Step 2: Convert to fraction form
    21,431/32,125 = 32,125/x
  3. Step 3: Cross multiply
    21,431x = 32,125 × 32,125
  4. Step 4: Simplify right side
    21,431x = 1,032,015,625
  5. Step 5: Solve for x
    x = 1,032,015,625/21,431
  6. Step 6: Final answer
    x = 48,155.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.