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Finding the Third Proportional to 9,355.50 and 19,768.50

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Solution

The third proportional to 9,355.50 and 19,768.50 is: 41,771.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,355.50 : 19,768.50 = 19,768.50 : x
  2. Step 2: Convert to fraction form
    9,355.50/19,768.50 = 19,768.50/x
  3. Step 3: Cross multiply
    9,355.50x = 19,768.50 × 19,768.50
  4. Step 4: Simplify right side
    9,355.50x = 390,793,592.25
  5. Step 5: Solve for x
    x = 390,793,592.25/9,355.50
  6. Step 6: Final answer
    x = 41,771.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.