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Finding the Third Proportional to 22,325.25 and 30,320.25

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Solution

The third proportional to 22,325.25 and 30,320.25 is: 41,178.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,325.25 : 30,320.25 = 30,320.25 : x
  2. Step 2: Convert to fraction form
    22,325.25/30,320.25 = 30,320.25/x
  3. Step 3: Cross multiply
    22,325.25x = 30,320.25 × 30,320.25
  4. Step 4: Simplify right side
    22,325.25x = 919,317,560.06
  5. Step 5: Solve for x
    x = 919,317,560.06/22,325.25
  6. Step 6: Final answer
    x = 41,178.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.