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Finding the Third Proportional to 17,763.75 and 38,373.75

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Solution

The third proportional to 17,763.75 and 38,373.75 is: 82,896.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,763.75 : 38,373.75 = 38,373.75 : x
  2. Step 2: Convert to fraction form
    17,763.75/38,373.75 = 38,373.75/x
  3. Step 3: Cross multiply
    17,763.75x = 38,373.75 × 38,373.75
  4. Step 4: Simplify right side
    17,763.75x = 1,472,544,689.06
  5. Step 5: Solve for x
    x = 1,472,544,689.06/17,763.75
  6. Step 6: Final answer
    x = 82,896.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.