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Finding the Third Proportional to 17,574 and 30,772

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Solution

The third proportional to 17,574 and 30,772 is: 53,881.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,574 : 30,772 = 30,772 : x
  2. Step 2: Convert to fraction form
    17,574/30,772 = 30,772/x
  3. Step 3: Cross multiply
    17,574x = 30,772 × 30,772
  4. Step 4: Simplify right side
    17,574x = 946,915,984
  5. Step 5: Solve for x
    x = 946,915,984/17,574
  6. Step 6: Final answer
    x = 53,881.64

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.