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Finding the Third Proportional to 35,672 and 75,925

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Solution

The third proportional to 35,672 and 75,925 is: 161,600.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,672 : 75,925 = 75,925 : x
  2. Step 2: Convert to fraction form
    35,672/75,925 = 75,925/x
  3. Step 3: Cross multiply
    35,672x = 75,925 × 75,925
  4. Step 4: Simplify right side
    35,672x = 5,764,605,625
  5. Step 5: Solve for x
    x = 5,764,605,625/35,672
  6. Step 6: Final answer
    x = 161,600.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.