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Finding the Third Proportional to 42,449 and 65,672

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Solution

The third proportional to 42,449 and 65,672 is: 101,599.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,449 : 65,672 = 65,672 : x
  2. Step 2: Convert to fraction form
    42,449/65,672 = 65,672/x
  3. Step 3: Cross multiply
    42,449x = 65,672 × 65,672
  4. Step 4: Simplify right side
    42,449x = 4,312,811,584
  5. Step 5: Solve for x
    x = 4,312,811,584/42,449
  6. Step 6: Final answer
    x = 101,599.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.