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Finding the Third Proportional to 48,567 and 73,858.50

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Solution

The third proportional to 48,567 and 73,858.50 is: 112,320.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,567 : 73,858.50 = 73,858.50 : x
  2. Step 2: Convert to fraction form
    48,567/73,858.50 = 73,858.50/x
  3. Step 3: Cross multiply
    48,567x = 73,858.50 × 73,858.50
  4. Step 4: Simplify right side
    48,567x = 5,455,078,022.25
  5. Step 5: Solve for x
    x = 5,455,078,022.25/48,567
  6. Step 6: Final answer
    x = 112,320.67

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.