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Finding the Third Proportional to 8,089 and 17,681

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Solution

The third proportional to 8,089 and 17,681 is: 38,647.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089 : 17,681 = 17,681 : x
  2. Step 2: Convert to fraction form
    8,089/17,681 = 17,681/x
  3. Step 3: Cross multiply
    8,089x = 17,681 × 17,681
  4. Step 4: Simplify right side
    8,089x = 312,617,761
  5. Step 5: Solve for x
    x = 312,617,761/8,089
  6. Step 6: Final answer
    x = 38,647.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.