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Finding the Third Proportional to 17,781.75 and 23,863.13

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Solution

The third proportional to 17,781.75 and 23,863.13 is: 32,024.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,781.75 : 23,863.13 = 23,863.13 : x
  2. Step 2: Convert to fraction form
    17,781.75/23,863.13 = 23,863.13/x
  3. Step 3: Cross multiply
    17,781.75x = 23,863.13 × 23,863.13
  4. Step 4: Simplify right side
    17,781.75x = 569,448,734.77
  5. Step 5: Solve for x
    x = 569,448,734.77/17,781.75
  6. Step 6: Final answer
    x = 32,024.34

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.