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Finding the Third Proportional to 39,441 and 85,240.50

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Solution

The third proportional to 39,441 and 85,240.50 is: 184,223.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,441 : 85,240.50 = 85,240.50 : x
  2. Step 2: Convert to fraction form
    39,441/85,240.50 = 85,240.50/x
  3. Step 3: Cross multiply
    39,441x = 85,240.50 × 85,240.50
  4. Step 4: Simplify right side
    39,441x = 7,265,942,840.25
  5. Step 5: Solve for x
    x = 7,265,942,840.25/39,441
  6. Step 6: Final answer
    x = 184,223.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.