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Finding the Third Proportional to 13,135.50 and 19,717

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Solution

The third proportional to 13,135.50 and 19,717 is: 29,596.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135.50 : 19,717 = 19,717 : x
  2. Step 2: Convert to fraction form
    13,135.50/19,717 = 19,717/x
  3. Step 3: Cross multiply
    13,135.50x = 19,717 × 19,717
  4. Step 4: Simplify right side
    13,135.50x = 388,760,089
  5. Step 5: Solve for x
    x = 388,760,089/13,135.50
  6. Step 6: Final answer
    x = 29,596.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.