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Finding the Third Proportional to 39,744 and 60,021

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Solution

The third proportional to 39,744 and 60,021 is: 90,643.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,744 : 60,021 = 60,021 : x
  2. Step 2: Convert to fraction form
    39,744/60,021 = 60,021/x
  3. Step 3: Cross multiply
    39,744x = 60,021 × 60,021
  4. Step 4: Simplify right side
    39,744x = 3,602,520,441
  5. Step 5: Solve for x
    x = 3,602,520,441/39,744
  6. Step 6: Final answer
    x = 90,643.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.