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Finding the Third Proportional to 27,038 and 37,947

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Solution

The third proportional to 27,038 and 37,947 is: 53,257.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,038 : 37,947 = 37,947 : x
  2. Step 2: Convert to fraction form
    27,038/37,947 = 37,947/x
  3. Step 3: Cross multiply
    27,038x = 37,947 × 37,947
  4. Step 4: Simplify right side
    27,038x = 1,439,974,809
  5. Step 5: Solve for x
    x = 1,439,974,809/27,038
  6. Step 6: Final answer
    x = 53,257.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.