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Finding the Third Proportional to 17,572 and 27,617

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Solution

The third proportional to 17,572 and 27,617 is: 43,404.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,572 : 27,617 = 27,617 : x
  2. Step 2: Convert to fraction form
    17,572/27,617 = 27,617/x
  3. Step 3: Cross multiply
    17,572x = 27,617 × 27,617
  4. Step 4: Simplify right side
    17,572x = 762,698,689
  5. Step 5: Solve for x
    x = 762,698,689/17,572
  6. Step 6: Final answer
    x = 43,404.20

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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.