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Finding the Third Proportional to 31,392 and 70,848

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Solution

The third proportional to 31,392 and 70,848 is: 159,895.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,392 : 70,848 = 70,848 : x
  2. Step 2: Convert to fraction form
    31,392/70,848 = 70,848/x
  3. Step 3: Cross multiply
    31,392x = 70,848 × 70,848
  4. Step 4: Simplify right side
    31,392x = 5,019,439,104
  5. Step 5: Solve for x
    x = 5,019,439,104/31,392
  6. Step 6: Final answer
    x = 159,895.49

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.