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Finding the Third Proportional to 20,825.75 and 45,349

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Solution

The third proportional to 20,825.75 and 45,349 is: 98,749.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,825.75 : 45,349 = 45,349 : x
  2. Step 2: Convert to fraction form
    20,825.75/45,349 = 45,349/x
  3. Step 3: Cross multiply
    20,825.75x = 45,349 × 45,349
  4. Step 4: Simplify right side
    20,825.75x = 2,056,531,801
  5. Step 5: Solve for x
    x = 2,056,531,801/20,825.75
  6. Step 6: Final answer
    x = 98,749.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.