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Finding the Third Proportional to 40,889 and 61,947

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Solution

The third proportional to 40,889 and 61,947 is: 93,849.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,889 : 61,947 = 61,947 : x
  2. Step 2: Convert to fraction form
    40,889/61,947 = 61,947/x
  3. Step 3: Cross multiply
    40,889x = 61,947 × 61,947
  4. Step 4: Simplify right side
    40,889x = 3,837,430,809
  5. Step 5: Solve for x
    x = 3,837,430,809/40,889
  6. Step 6: Final answer
    x = 93,849.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.