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Finding the Third Proportional to 32,412 and 52,925

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Solution

The third proportional to 32,412 and 52,925 is: 86,420.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,412 : 52,925 = 52,925 : x
  2. Step 2: Convert to fraction form
    32,412/52,925 = 52,925/x
  3. Step 3: Cross multiply
    32,412x = 52,925 × 52,925
  4. Step 4: Simplify right side
    32,412x = 2,801,055,625
  5. Step 5: Solve for x
    x = 2,801,055,625/32,412
  6. Step 6: Final answer
    x = 86,420.33

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.