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Finding the Third Proportional to 29,937 and 39,947

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Solution

The third proportional to 29,937 and 39,947 is: 53,304.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,937 : 39,947 = 39,947 : x
  2. Step 2: Convert to fraction form
    29,937/39,947 = 39,947/x
  3. Step 3: Cross multiply
    29,937x = 39,947 × 39,947
  4. Step 4: Simplify right side
    29,937x = 1,595,762,809
  5. Step 5: Solve for x
    x = 1,595,762,809/29,937
  6. Step 6: Final answer
    x = 53,304.03

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.