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Finding the Third Proportional to 9,506.50 and 19,619

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Solution

The third proportional to 9,506.50 and 19,619 is: 40,488.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.50 : 19,619 = 19,619 : x
  2. Step 2: Convert to fraction form
    9,506.50/19,619 = 19,619/x
  3. Step 3: Cross multiply
    9,506.50x = 19,619 × 19,619
  4. Step 4: Simplify right side
    9,506.50x = 384,905,161
  5. Step 5: Solve for x
    x = 384,905,161/9,506.50
  6. Step 6: Final answer
    x = 40,488.63

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.