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Finding the Third Proportional to 9,135.50 and 19,836.50

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Solution

The third proportional to 9,135.50 and 19,836.50 is: 43,072.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135.50 : 19,836.50 = 19,836.50 : x
  2. Step 2: Convert to fraction form
    9,135.50/19,836.50 = 19,836.50/x
  3. Step 3: Cross multiply
    9,135.50x = 19,836.50 × 19,836.50
  4. Step 4: Simplify right side
    9,135.50x = 393,486,732.25
  5. Step 5: Solve for x
    x = 393,486,732.25/9,135.50
  6. Step 6: Final answer
    x = 43,072.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.