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Finding the Third Proportional to 39,655.50 and 52,867.50

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Solution

The third proportional to 39,655.50 and 52,867.50 is: 70,481.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,655.50 : 52,867.50 = 52,867.50 : x
  2. Step 2: Convert to fraction form
    39,655.50/52,867.50 = 52,867.50/x
  3. Step 3: Cross multiply
    39,655.50x = 52,867.50 × 52,867.50
  4. Step 4: Simplify right side
    39,655.50x = 2,794,972,556.25
  5. Step 5: Solve for x
    x = 2,794,972,556.25/39,655.50
  6. Step 6: Final answer
    x = 70,481.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.