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Finding the Third Proportional to 18,588.75 and 29,924.25

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Solution

The third proportional to 18,588.75 and 29,924.25 is: 48,172.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,588.75 : 29,924.25 = 29,924.25 : x
  2. Step 2: Convert to fraction form
    18,588.75/29,924.25 = 29,924.25/x
  3. Step 3: Cross multiply
    18,588.75x = 29,924.25 × 29,924.25
  4. Step 4: Simplify right side
    18,588.75x = 895,460,738.06
  5. Step 5: Solve for x
    x = 895,460,738.06/18,588.75
  6. Step 6: Final answer
    x = 48,172.19

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.