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Finding the Third Proportional to 17,594 and 27,543

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Solution

The third proportional to 17,594 and 27,543 is: 43,117.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,594 : 27,543 = 27,543 : x
  2. Step 2: Convert to fraction form
    17,594/27,543 = 27,543/x
  3. Step 3: Cross multiply
    17,594x = 27,543 × 27,543
  4. Step 4: Simplify right side
    17,594x = 758,616,849
  5. Step 5: Solve for x
    x = 758,616,849/17,594
  6. Step 6: Final answer
    x = 43,117.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.