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Finding the Third Proportional to 35,379 and 48,073.50

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Solution

The third proportional to 35,379 and 48,073.50 is: 65,322.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,379 : 48,073.50 = 48,073.50 : x
  2. Step 2: Convert to fraction form
    35,379/48,073.50 = 48,073.50/x
  3. Step 3: Cross multiply
    35,379x = 48,073.50 × 48,073.50
  4. Step 4: Simplify right side
    35,379x = 2,311,061,402.25
  5. Step 5: Solve for x
    x = 2,311,061,402.25/35,379
  6. Step 6: Final answer
    x = 65,322.97

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.