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Finding the Third Proportional to 22,845 and 35,320.50

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Solution

The third proportional to 22,845 and 35,320.50 is: 54,608.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,845 : 35,320.50 = 35,320.50 : x
  2. Step 2: Convert to fraction form
    22,845/35,320.50 = 35,320.50/x
  3. Step 3: Cross multiply
    22,845x = 35,320.50 × 35,320.50
  4. Step 4: Simplify right side
    22,845x = 1,247,537,720.25
  5. Step 5: Solve for x
    x = 1,247,537,720.25/22,845
  6. Step 6: Final answer
    x = 54,608.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.