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Finding the Third Proportional to 22,961.75 and 35,121.75

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Solution

The third proportional to 22,961.75 and 35,121.75 is: 53,721.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,961.75 : 35,121.75 = 35,121.75 : x
  2. Step 2: Convert to fraction form
    22,961.75/35,121.75 = 35,121.75/x
  3. Step 3: Cross multiply
    22,961.75x = 35,121.75 × 35,121.75
  4. Step 4: Simplify right side
    22,961.75x = 1,233,537,323.06
  5. Step 5: Solve for x
    x = 1,233,537,323.06/22,961.75
  6. Step 6: Final answer
    x = 53,721.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.