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Finding the Third Proportional to 46,956 and 60,957

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Solution

The third proportional to 46,956 and 60,957 is: 79,132.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,956 : 60,957 = 60,957 : x
  2. Step 2: Convert to fraction form
    46,956/60,957 = 60,957/x
  3. Step 3: Cross multiply
    46,956x = 60,957 × 60,957
  4. Step 4: Simplify right side
    46,956x = 3,715,755,849
  5. Step 5: Solve for x
    x = 3,715,755,849/46,956
  6. Step 6: Final answer
    x = 79,132.72

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.