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Finding the Third Proportional to 40,767 and 61,027.50

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Solution

The third proportional to 40,767 and 61,027.50 is: 91,357.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,767 : 61,027.50 = 61,027.50 : x
  2. Step 2: Convert to fraction form
    40,767/61,027.50 = 61,027.50/x
  3. Step 3: Cross multiply
    40,767x = 61,027.50 × 61,027.50
  4. Step 4: Simplify right side
    40,767x = 3,724,355,756.25
  5. Step 5: Solve for x
    x = 3,724,355,756.25/40,767
  6. Step 6: Final answer
    x = 91,357.12

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Why These Related Problems?

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