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Finding the Third Proportional to 39,637 and 54,351

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Solution

The third proportional to 39,637 and 54,351 is: 74,527.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,637 : 54,351 = 54,351 : x
  2. Step 2: Convert to fraction form
    39,637/54,351 = 54,351/x
  3. Step 3: Cross multiply
    39,637x = 54,351 × 54,351
  4. Step 4: Simplify right side
    39,637x = 2,954,031,201
  5. Step 5: Solve for x
    x = 2,954,031,201/39,637
  6. Step 6: Final answer
    x = 74,527.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.