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Finding the Third Proportional to 48,780 and 72,962

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Solution

The third proportional to 48,780 and 72,962 is: 109,131.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,780 : 72,962 = 72,962 : x
  2. Step 2: Convert to fraction form
    48,780/72,962 = 72,962/x
  3. Step 3: Cross multiply
    48,780x = 72,962 × 72,962
  4. Step 4: Simplify right side
    48,780x = 5,323,453,444
  5. Step 5: Solve for x
    x = 5,323,453,444/48,780
  6. Step 6: Final answer
    x = 109,131.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.