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Finding the Third Proportional to 35,984 and 49,392

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Solution

The third proportional to 35,984 and 49,392 is: 67,795.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,984 : 49,392 = 49,392 : x
  2. Step 2: Convert to fraction form
    35,984/49,392 = 49,392/x
  3. Step 3: Cross multiply
    35,984x = 49,392 × 49,392
  4. Step 4: Simplify right side
    35,984x = 2,439,569,664
  5. Step 5: Solve for x
    x = 2,439,569,664/35,984
  6. Step 6: Final answer
    x = 67,795.96

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.