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Finding the Third Proportional to 29,598 and 43,947

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Solution

The third proportional to 29,598 and 43,947 is: 65,252.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,598 : 43,947 = 43,947 : x
  2. Step 2: Convert to fraction form
    29,598/43,947 = 43,947/x
  3. Step 3: Cross multiply
    29,598x = 43,947 × 43,947
  4. Step 4: Simplify right side
    29,598x = 1,931,338,809
  5. Step 5: Solve for x
    x = 1,931,338,809/29,598
  6. Step 6: Final answer
    x = 65,252.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.