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Finding the Third Proportional to 22,433.50 and 34,836

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Solution

The third proportional to 22,433.50 and 34,836 is: 54,095.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,433.50 : 34,836 = 34,836 : x
  2. Step 2: Convert to fraction form
    22,433.50/34,836 = 34,836/x
  3. Step 3: Cross multiply
    22,433.50x = 34,836 × 34,836
  4. Step 4: Simplify right side
    22,433.50x = 1,213,546,896
  5. Step 5: Solve for x
    x = 1,213,546,896/22,433.50
  6. Step 6: Final answer
    x = 54,095.30

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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.