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Finding the Third Proportional to 39,260 and 60,069

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Solution

The third proportional to 39,260 and 60,069 is: 91,907.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,260 : 60,069 = 60,069 : x
  2. Step 2: Convert to fraction form
    39,260/60,069 = 60,069/x
  3. Step 3: Cross multiply
    39,260x = 60,069 × 60,069
  4. Step 4: Simplify right side
    39,260x = 3,608,284,761
  5. Step 5: Solve for x
    x = 3,608,284,761/39,260
  6. Step 6: Final answer
    x = 91,907.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.