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Finding the Third Proportional to 17,184.75 and 25,822.75

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Solution

The third proportional to 17,184.75 and 25,822.75 is: 38,802.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,184.75 : 25,822.75 = 25,822.75 : x
  2. Step 2: Convert to fraction form
    17,184.75/25,822.75 = 25,822.75/x
  3. Step 3: Cross multiply
    17,184.75x = 25,822.75 × 25,822.75
  4. Step 4: Simplify right side
    17,184.75x = 666,814,417.56
  5. Step 5: Solve for x
    x = 666,814,417.56/17,184.75
  6. Step 6: Final answer
    x = 38,802.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.