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Finding the Third Proportional to 39,645 and 60,723

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Solution

The third proportional to 39,645 and 60,723 is: 93,007.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,645 : 60,723 = 60,723 : x
  2. Step 2: Convert to fraction form
    39,645/60,723 = 60,723/x
  3. Step 3: Cross multiply
    39,645x = 60,723 × 60,723
  4. Step 4: Simplify right side
    39,645x = 3,687,282,729
  5. Step 5: Solve for x
    x = 3,687,282,729/39,645
  6. Step 6: Final answer
    x = 93,007.51

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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.