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Finding the Third Proportional to 48,011 and 72,679.50

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Solution

The third proportional to 48,011 and 72,679.50 is: 110,022.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,011 : 72,679.50 = 72,679.50 : x
  2. Step 2: Convert to fraction form
    48,011/72,679.50 = 72,679.50/x
  3. Step 3: Cross multiply
    48,011x = 72,679.50 × 72,679.50
  4. Step 4: Simplify right side
    48,011x = 5,282,309,720.25
  5. Step 5: Solve for x
    x = 5,282,309,720.25/48,011
  6. Step 6: Final answer
    x = 110,022.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.