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Finding the Third Proportional to 17,574 and 27,925

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Solution

The third proportional to 17,574 and 27,925 is: 44,372.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,574 : 27,925 = 27,925 : x
  2. Step 2: Convert to fraction form
    17,574/27,925 = 27,925/x
  3. Step 3: Cross multiply
    17,574x = 27,925 × 27,925
  4. Step 4: Simplify right side
    17,574x = 779,805,625
  5. Step 5: Solve for x
    x = 779,805,625/17,574
  6. Step 6: Final answer
    x = 44,372.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.