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Finding the Third Proportional to 39,645 and 60,722

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Solution

The third proportional to 39,645 and 60,722 is: 93,004.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,645 : 60,722 = 60,722 : x
  2. Step 2: Convert to fraction form
    39,645/60,722 = 60,722/x
  3. Step 3: Cross multiply
    39,645x = 60,722 × 60,722
  4. Step 4: Simplify right side
    39,645x = 3,687,161,284
  5. Step 5: Solve for x
    x = 3,687,161,284/39,645
  6. Step 6: Final answer
    x = 93,004.45

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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.