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Finding the Third Proportional to 7,790 and 17,089

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Solution

The third proportional to 7,790 and 17,089 is: 37,488.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790 : 17,089 = 17,089 : x
  2. Step 2: Convert to fraction form
    7,790/17,089 = 17,089/x
  3. Step 3: Cross multiply
    7,790x = 17,089 × 17,089
  4. Step 4: Simplify right side
    7,790x = 292,033,921
  5. Step 5: Solve for x
    x = 292,033,921/7,790
  6. Step 6: Final answer
    x = 37,488.31

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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.