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Finding the Third Proportional to 40,672 and 61,248

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Solution

The third proportional to 40,672 and 61,248 is: 92,233.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,672 : 61,248 = 61,248 : x
  2. Step 2: Convert to fraction form
    40,672/61,248 = 61,248/x
  3. Step 3: Cross multiply
    40,672x = 61,248 × 61,248
  4. Step 4: Simplify right side
    40,672x = 3,751,317,504
  5. Step 5: Solve for x
    x = 3,751,317,504/40,672
  6. Step 6: Final answer
    x = 92,233.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.