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Finding the Third Proportional to 45,872.50 and 67,957

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Solution

The third proportional to 45,872.50 and 67,957 is: 100,673.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,872.50 : 67,957 = 67,957 : x
  2. Step 2: Convert to fraction form
    45,872.50/67,957 = 67,957/x
  3. Step 3: Cross multiply
    45,872.50x = 67,957 × 67,957
  4. Step 4: Simplify right side
    45,872.50x = 4,618,153,849
  5. Step 5: Solve for x
    x = 4,618,153,849/45,872.50
  6. Step 6: Final answer
    x = 100,673.69

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.