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Finding the Third Proportional to 30,505 and 55,947

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Solution

The third proportional to 30,505 and 55,947 is: 102,608.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,505 : 55,947 = 55,947 : x
  2. Step 2: Convert to fraction form
    30,505/55,947 = 55,947/x
  3. Step 3: Cross multiply
    30,505x = 55,947 × 55,947
  4. Step 4: Simplify right side
    30,505x = 3,130,066,809
  5. Step 5: Solve for x
    x = 3,130,066,809/30,505
  6. Step 6: Final answer
    x = 102,608.32

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.