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Finding the Third Proportional to 13,040 and 17,717

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Solution

The third proportional to 13,040 and 17,717 is: 24,071.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,040 : 17,717 = 17,717 : x
  2. Step 2: Convert to fraction form
    13,040/17,717 = 17,717/x
  3. Step 3: Cross multiply
    13,040x = 17,717 × 17,717
  4. Step 4: Simplify right side
    13,040x = 313,892,089
  5. Step 5: Solve for x
    x = 313,892,089/13,040
  6. Step 6: Final answer
    x = 24,071.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.